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int0^(pi/4)cos^2x dx...

`int_0^(pi/4)cos^2x dx`

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Evaluate int_0^(pi/2) cos^2x dx

Evaluate: int_0^(pi//2)cos^2x\ dx

Evaluate the following integrals: int_0^(pi//4)|cos2x|dx

(i) int_0^(pi/2) sin^2 x dx (ii) int_0^(pi//2) cos^2 x dx

What is the value of int_0^(pi//2)cos^8 x dx ?

Evaluate: int_0^(2pi)cos^5x\ dx

(i) int_0^(pi//2) cos x dx (ii) int_(-pi//2)^(pi//2) cos x dx (iii) int_0^(pi//2) cos 2x dx

(i) int_0^(pi//2) sin^2 dx =pi/4 (ii) int_0^(pi//2) cos^2x dx=pi/4 (iii) int_(-pi//4)^(pi//4) sin^2 x dx=pi/4-1/2 (iv) int_(-pi//4)^(pi//4) cos^2x dx=pi/4+1/2

Prove that: int_0^(pi//2) cos^4 x dx =(3pi)/16