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How to integrate x sin(7x^2) cos(8x^2)?

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How to integrate x sin(7x^2) cos(8x^2)?

integration

asked Feb 14, 2015 in CALCULUS by anonymous

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1 Answer

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Step 1:

The integral is .

Let .

Differentiate with respect to .

Substitute and in the integral.

Step 2:

Product to sum formula for sine functions:

Here and .

Substitute above values in the formula.

Integration of sine function:

Replace with .

Solution:

.

answered Feb 16, 2015 by cameron Mentor

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