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evaluate ∫ sin^2(x) / 1 + cos x dx

evaluate
∫  sin^2(x) / 1 + cos x dx

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
7 years ago
Ans:
Hello Student,
Please find answer to your question

I = \int \frac{sin^{2}x}{1+cosx}dx
I = \int \frac{1-cos^{2}x}{1+cosx}dx
I = \int \frac{(1-cosx)(1+cosx)}{1+cosx}dx
I = \int (1-cosx)dx
I = \int dx-\int cosxdx
I = x - sinx + c

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