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Find the integralint(2x^2-3sinx+5sqrt(x)...

Find the integral`int(2x^2-3sinx+5sqrt(x))dx`

Text Solution

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`int (2x^(2) -3 sin x+ 5sqrt(x))dx`
`= 2int x^(2)dx -3 int sin x dx + 5 int x^(1//2) dx`
`=(2x^(3))/(3)-3 (-cos x) + 5(x^(3//2))/(3//2) +c`
`=(2)/(3)x^(3) +3 cos x +(10)/(3)x^(3//2) +c`
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