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Evaluate the integral : (i) underset(1...

Evaluate the integral :
(i) `underset(1) overset(5) int x^(2)dx " "` (ii) `underset(0) overset(1) int t^(2)dt" "` (iii) `underset(3) overset(5) int t dx " "` (iv) `underset(0) overset(1) int t^(3//2)dx`

Text Solution

Verified by Experts

`int_(1)^(5)x^(2)dx=[(x^(3))/(3)]_(1)^(5)=(1)/(3) [x^(3)]_(1)^(5)=1/3 "("(5)^(3)-(1)^(3)")"`
`=1/3 (125-1)=(124)/(3)`
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