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help-integrals?

0 votes

asked May 15, 2015 in CALCULUS by anonymous

4 Answers

0 votes

(1)

Step 1:

The integral function is .

Sum and difference rule of integral : image.

image

Power rule of integral :image.

image

image

image.

image.

Solution :

image.

answered May 15, 2015 by Anney Mentor
0 votes

(2)

Step 1:

The integral function is .

Power rule of integral :image.

image

image

image.

Solution :

image.

answered May 15, 2015 by Anney Mentor
0 votes

(3)

Step 1:

The integral function is .

Let .

Differentiate on each side with respect to .

.

Substitute and in the integral function.

Integral of logarithm function is  image.

image.

Substitute in the integral function.

image.

Solution :

image.

answered May 15, 2015 by Anney Mentor
edited May 15, 2015 by Anney
0 votes

(4)

Step 1:

The integral function is .

Let .

.

Differentiate on each side with respect to .

 

Substitute , and in the integral function.

.

Sum and difference rule of integral : image.

image

Integral of logarithm function is image.

Power rule of integral :image.

image

image

Substitute image in integral function.

image.

image.

Solution :

image.

answered May 15, 2015 by Anney Mentor
edited May 15, 2015 by Anney

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