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The integral of Sin2x/ 1 + cos^2 dx

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The integral of Sin2x/ 1 + cos^2x dx 

asked Nov 13, 2014 in CALCULUS by anonymous

1 Answer

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The Function is image.

image

image

Consider cos²(x) = u

Apply Derivative on both sides.

2 cosx sinx dx = du

image

= ln(1+u)

= ln(1 + cos²x)

Therefore image.

answered Nov 13, 2014 by Lucy Mentor

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