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Grade 12Integral Calculus

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

Profile image of taniska
11 Years agoGrade 12
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1 Answer

Profile image of Jitender Singh
11 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