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integrate the following integral ∫ sin^2(x/2) dx

 
integrate the following integral
∫ sin^2(x/2) dx

Grade:12

1 Answers

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

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

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