Question

integration of cos^2x​

Answer 1

Answer: sin2x/2 + c

Step-by-step explanation:

∫cosx dx = sinx + c

∫cos2x dx = sin2x/2 + c (just divide the number)

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Answer 2

Answer:

(cosx)³/3 + c

Step-by-step explanation:

∫cos²x

= ∫(cosx)²                                         [ as ∫x^n ={ x^(n+1)}/n+1]  

= [(cosx)^(2+1)]/2+1 + c

= [(cosx)³]/3 + c

= (cosx)³/3 + c

Ans:- (cosx)³/3 + c

Please pardon me if i did something wrong. I don't know much of integration.