InterviewSolution
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InterviewSolution
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`intsqrtx e^(sqrtx)dx` is equal toA. `2sqrtx-e^(sqrtx)-4sqrt(xe^(sqrtx))+C`B. `(2x-4sqrtx+4)e^(sqrtx)+C`C. `(2x+4sqrtx+4)e^(sqrtx)+C`D. `(1-4sqrtx)e^(sqrtx)+C` |
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Answer» Correct Answer - B Let`" "l=intsqrt(x e^(sqrtx)dx` Put`" "x=t^(2)" "rArr" "dx=2tdt` Now, integration by parts, we get `l=2int t^(2)e^(y)dt=2[t^(2)e^(t)-(2t)e^(t)+2e^(t)]+C` `=(2x-4sqrtx+4)e^(sqrtx)+C` |
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