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Integrate the following and kindly simplify itCos^7x dx

Integrate the following and kindly simplify itCos^7x dx

Grade:11

1 Answers

Arun
25763 Points
3 years ago
∫cos^7(x) dx = 
∫(1-sin^2 (x))^3 d(sin (x)) = 
sin x - 3/3sin^3 (x) +(3/5)sin^5 (x) - (1/7)sin^7 (x) +C 
sin x - sin^3 (x) +(3/5)sin^5 (x) - (1/7)sin^7 (x) +C

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