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

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

Grade:12

1 Answers

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

I = \int cos^{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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