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int0^(pi//2)xsinx dx...

`int_0^(pi//2)xsinx dx`

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int_0^(pi/2) sin x dx

Evaluate: int_0^(pi//2)sinx\ dx

Evaluate : int_0^(pi//2)sinx\ dx

Write the value of int_0^(pi//2) (sinx) dx - int_0^(-pi//2) (cos x) dx

Evaluate the following definite integrals: int_0^(pi//2)xsinx sin2x dx

Evaluate: int_0^(pi//2)(xsinx cos\ x)/(sin^4x+cos^4x)dx

Evaluate: int_0^(pi//2)(xsinx cos\ x)/(sin^4x+cos^4x)dx

Prove that: int_0^(pi//2)logsinx\ dx=\ int_0^(pi//2)logcosx\ dx=-pi/2log2

Prove that: int_0^(pi//2)logsinx\ dx=\ int_0^(pi//2)logcosx\ dx=-pi/2log2

Evaluate: int_0^(pi/2)xcosx dx