please explain it to me that how I gonna answer this : integral of secx I know the answer but how?
It will be ln / secx + tanx / + c​

Answers

Answer 1

Answer:

ln|sec(x) + tan(x)| + c

Step-by-step explanation:

∫sec(x) dx

secx = 1/cos(x) = cos(x)/cos²(x) = cos(x)/(1-sin²(x))

let u = sinx

we get ∫secx = ∫du/(1-u²) = ln√(1+u)/(1-u)

as (1+u)/(1-u) = (1+sinx)/(1-sinx) = (sec²x + tan²x)

so ln √(1+u)/(1-u) = ln√(sec²x + tan²x) = ln|secx+tanx| +c


Related Questions

A fish is at 12.85m below sea level and a turtle is at 3.5m right above the fish. State the position of the turtle.

Answers

Answer:

9.35

Step-by-step explanation:

because you take 3.5 away from 12.85

Answer:

9.35

Step-by-step explanation:

SAME EXPLANATION PO

plz help ty<3

6cd^2+ 5cd + 3c^2 d^3

Answers

I think its 52 I'm not sure please dont get angry If I got it wrong

which one is the same to 0.6 . 1/6 , 6% , 3/5 , 60% or 6/100

Answers

3/5 and 60% are both equivalent to 0.6

Griff needs $46.35 more to buy a video game that costs $75.00, how much money does he already have?

Answers

Griff already has $28.65

factorize 21xy - 14xz - 28wx

Answers

Answer:

7x(3y - 2z - 4w)

Step-by-step explanation:

21xy - 14xz - 28wx ← factor out 7x from each term

= 7x(3y - 2z - 4w)

Answer:

7 x . (3y - 2z - 4w

Step-by-step explanation:

Can someone please answer for d and b

Answers

Answer:

d=2√2, b=[tex]\frac{3\sqrt{2}}{2}[/tex]

Step-by-step explanation:

first triangle is a 30-60-90

so, sides x-x√2-2x

x=2

therefore d=2√2

second triangle is 45-45-60

sides, 1-1-√2

which means b√2=6

b=6/√2 ---> multiply by √2/√2 to get ride of the √2 denominator

b=6√2/4 , simplify

b=[tex]\frac{3\sqrt{2}}{2}[/tex]

Write the equation of the line described below in point-slope form.

Answers

Answer:

y-1=2(x-3)

Step-by-step explanation:

Point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]. m = the slope. [tex]1=y_{1}[/tex] and [tex]3=x_{1}[/tex] now you plug it in. y-1=2(x-3).

[tex]\text{Given that,}\\\\(x_1,y_1)=(3,1) ~ \text{and slope, m=2}\\\\\text{The equation,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -1 = 2(x -3) \\\\\implies y = 2(x-3) +1 \\\\\implies y =2x-6 +1\\\\\implies y =2x -5[/tex]

Ahmed has x pens.
Lucy has 2 more pens than Ahmed.
James has twice as many pens as Lucy.
Write down an expression, in terms of x, for the number of pens James has,

Answers

2(x +2 )

This is the number

Isosceles trapezoid ABCD has legs AB and CD, and base BC. If AB = 3y - 4, BC = 2y -3, and CD = 4y - 18, find the value of y.

Answers

Answer:

   (6)

Step-by-step explanation:

Since it is an isosceles trapezoid the length of the two legs (i.e.  AB = 5y-10 and CD = 2y+8) are equal.  In other words,

5y - 10 = 2 y + 8

Subtract 2y from each side:

5y - 2y - 10 = 8

Now add 10 to each side

5y - 2y - 10 + 10 = 8 + 10 =>

3y + 0 = 18 =>  

3y = 18 =>

y = 6

From 11 friends to 12 friends find the percent

Answers

Answer:

109.090909%

Step-by-step explanation:

Answer:

9.09091%

Step-by-step explanation:

From 11 friends to 12 friends find the percent

from 11 friends to 12 friends. The number of friends is increased by 1.

To get the percentage of increase:

(12 - 11) / 11 = 1 / 11 = * 100% =

The increase of 1 friend is equivalent to 9.09091% increase

11 is the basis. It is the 100%

 1 is the increase. It is the 9.09091%

12 is the total number of friends.


There are 50 students in one of Mr. Rudolph's physical education classes. On Monday, 14% of the students were absent from that dass. How many students were present in that dass
on Monday?

Answers

50 x .14 = 7 students absent
50 - 7 = 43 students present

43 is the number of students were present in that class on Monday

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that there are 50 students in one of Mr. Rudolph's physical education classes.

On Monday, 14% of the students were absent from that dass.

We have to find the number of students were present in that dass

on Monday.

Let us find 14% of 50

14/100 ×50

0.14×50

7 students were absent.

Now 50-7=43 students.

Hence, 43 number of students were present in that class on Monday

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ6

Write using a fractional exponent.

Answers

Answer:

a number with a fractional exponent or power or index is the same as the denomination's root the whole number power the numerator

therefore the denominator will be three and numerator will be one

x²×⅓= x⅔

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

w>-20

Step-by-step explanation:

A theater always sets the price of a seat on the lower level, a, as $5 more than the price of a seat in the balcony, b. This situation is represented by the function a = 5 + b.

Answers

Answer:

I took the test

Step-by-step explanation:

What force is required to accelerate a car at a rate of 5 m/s2 if the car has a mass of 35.7 kg?Force Mass Acceleration




30.7 N


7.14 N




178.5 N




0.14 N

Answers

Answer:

178.5 N

Step-by-step explanation:

force = mass *  acceleration

f = 35.7 * 5

f = 178.5

178.5 Newtons

Graph the equation and identify the intercept(s). If the equation is linear, find the slope of the line.

4. 2x - 3y = 6
5. y = 4.5
6. y = | x - 1 | -2

Answers

Answer:

Graphs shown below.

4.) x-intercept: (3,0)  y-intercept: (0,-2)  slope: 2/3

5.) x-intercept: none  y-intercept: (0,4.5)  slope:0

6.) x-intercept: (3,0) and (-1,0)  y-intercept: (0,-1)   slope: none

#4 is blue graph, #5 is green graph, #6 is red graph

Step-by-step explanation:

** #4 is blue graph, #5 is green graph, #6 is red graph **

Solve the slope for the table.

Answers

the answer to your question is slope is 6

A company claims that their new bottle holds 25% more laundry soap. If their original container help 48 fluid ounces of soap, how much does the new container hold?

Answers

The new container holds 60 fluid ounces of soap

man to be honest there is a girl i really like should i tell her how i feel

Answers

Answer:

I think if you haven't hung out with her a lot, you should start hanging out with her, getting along, until you have built up courage to tell her you have feelings for her.

Yesss but be smooth with it though.

If a Japanese company reported an 8.8 percent increase in net profit from last year’s 426 billion yen, what would be this year’s net profit in yen?

Answers

Answer:

463,488,000,000

Step-by-step explanation:

8.8% = .088

426,000,000,000 * .088 = 37,488,000,000

426,000,000,000 + 37,488,000,000 = 463,488,000,000

Solve for m.

−2.4(m−5/6)=−5

Enter your answer as a simplified mixed number in the box.

m = plzzzzzzz helpppppp meee i willl give you all my points

Answers

Answer:

2 11/12

Step-by-step explanation:

This is what I got for the answer in the test.

The value of m in the given equation would be; m = 2.91

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We need to find the value of m.

This equation could also be given by;

−2.4(m−5/6)=−5

Distribute the negative;

−2.4(m−5/6)=−5

- 2.4m + 2.4 x 5/6 = -5

Now we get;

- 2.4m = -5 - 2

- 2.4m = -7

m = 2.91

Hence, the value of m in the given equation would be; m = 2.91

Learn more about expression here;

brainly.com/question/14083225

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1.
Identify the vertex and the y-intercept of the graph of the function.

y = 0.5(x – 3)^2

A. vertex, (3, 0); y-intercept 4.5

B. vertex, (–3, 0); y-intercept, 4.5

C. vertex, (–3, 0); y-intercept, 1.5

D. vertex, (3, 0); y-intercept, 1.5

Answers

Answer:

A. vertex, (3, 0); y-intercept 4.5

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 3 , 0 )

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept(s):  

( 3 , 0 )

y-intercept(s):  

( 0 , 4.5 )

Which Game Is The Best And Why?

A.) Uncharted 4 a Thief's End
B.) Call Of Duty Modern Warefare
C.) Batman Arkham Knight
D.) Marvel's Spider-Man

Answers

B) obviously it’s the most played game then all of the others this year

Answer:

Hmm, id say call of duty, because first of all, my brother would not be happy if i chose something else, lol, also that one is pretty fun

Step-by-step explanation:

The distance your friend travels in y (miles) running x hours is represented by the equation y = 7.5x.
a. Graph the equation and interpret the slope

b. how many minutes does it take for your friend to run one mile

Answers

a. Is the attached image

b. 1 = 7.5x
x = 0.133333…

This is in hours, so we must multiply by 60 to get minutes

x = 8 minutes

straight line graph table - complete the table of values for the equation y=x+6 using values that lie on the graph shown​

Answers

Answer:

take any value of x and substitute such as x is 0

y will be plus 6 so (0,6)

y is 0 so x will be minus 6 so (-6,0)

Step-by-step explanation:

take any value of x and y and substitute

Mark as brainliest!!!

What is 35 X (5 +150)=

Answers

Answer: 5425

Step-by-step explanation:

Will mark brainliest

Answers

Answer:

27

Step-by-step explanation:

four more than the price ,p

Answers

What? What do you need help with?

Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students earned more that $104 per week?

Answers

Answer:

2.28%

Step-by-step explanation:

Given:

μ = 80σ = 12x = 104

Find z-score:

z = (x - μ)/σz = (104 - 80)/12 = 2

Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.

Percentage of students earned more than $104:

100 - 97.72 = 2.28

Choose the graph of the inequality's solution. -4x + 8 > 12

Answers

Answer:

[tex]x < - 1[/tex]

You should have a circle on -1 with the arrow going left

Step-by-step explanation:

Subtract 8 from both sides.

[tex] - 4x + 8 > 12 \\ - 8 \: \: \: \: - 8[/tex]

[tex] - 4x > 4[/tex]

Divide by -4

[tex] \frac{ - 4x}{ - 4} > \frac{4}{ - 4} [/tex]

Since you are dividing by a negative, you need to flip the inequality.

[tex]x < - 1[/tex]

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