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Find the indefinite integral and check the result by differentiation.

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Find the indefinite integral and check the result by differentiation.

asked Jan 27, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

The indefinite integral isimage.

Assume image

Apply derivative on both sides with respect to image.

image          (Since image)

image

image

Power rule of integration:image, where image is a constant of inegration.

image

image

Replace image.

image

Check:

imageimage

Consider image

Apply differentiation on both sides with respect to image.

image             (Since image)

image

image

Hence it is verified.

Solution:

image

answered Jan 27, 2015 by cameron Mentor

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