12. Find sinxdx1+COS X – InterviewSolution

1.

12. Find sinxdx1+COS X

Answer»

(xsinx)/(1+cosx).

f'(x)g(x)-g'(x)f(x) all over g(x)^2. This is your quotient rule.

f'(x)g(x)+g'(x)f(x) is your prodcut rule.

(1+cosx)(sinx+xcosx)-[(xsinx)(-sinx)]

sinx+xcos^2x-[-xsin^2x]

[sinx+xcos^2x+xsin^2x]/(1-cosx)^2

[sinx+xcos^2x+xsin^2x]/(1-2cosx+cos^2x

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