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int(0)^(4)x^(3/2)dx...

`int_(0)^(4)x^(3/2)dx`

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The value of int_(0)^(2) 3x^(2)dx+int_(0)^(pi//2) sin x dx is :-

I=int_(0)^(4)(x^(2)+2x+4)dx

Evaluate the following definite integrals. (a) int_(0)^(3)(x^(2)+1)dx (b) int_(2)^(3)(x^(3)-4x^(2)+5x-10)dx (c) int_(0)^(pi//4)(cosx-sinx)dx