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Integration help

0 votes

asked Apr 17, 2015 in CALCULUS by MathGuy Novice

2 Answers

0 votes

Step 1 :

The function is .

Find  .

Consider .

Differentiate on each side with respect to .

Substitute and in .

Step 2 :

Trigonometric identity :.

Trigonometric formula :.

.

Step 3 :

If then image, and .

Substitute , and .

 

image

image.

Solution :

image.

answered Apr 17, 2015 by sandy Pupil
0 votes

Step 1 :

The function is .

Find .

.

Consider .

Differentiate on each side with respect to .

Substitute and in .

Trigonometric identity :.

Step 2 :

Trigonometric formula : .

image

image

Step 3:

If then image, and .

Find image.

image

image.

Find image.

image

image.

answered Apr 17, 2015 by sandy Pupil
edited Apr 17, 2015 by sandy

Step 4:

Substitute , image and image.

 

image

Solution :

image.

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