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Evaluate the following integrals:(i) in...

Evaluate the following integrals:(i) `int_2^3x^2dx` (ii) `int_4^9(sqrt(x))/((30-x^(3/2))^2)dx` (iii) `int_1^2(x dx)/((x+1)(x+2)` (iv) `int_0^(pi/4)sin^3 2tcos2t dt`

Text Solution

Verified by Experts

(i) Given `int_2^3x^2dx`
on integrating we get
`=((x^3)/3)_2^3`
`=(3^3)/3-(2^3)/3`
...
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