InterviewSolution
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InterviewSolution
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`int(e^((x^(2)+4Inx))-x^(3)e^(x^(2)))/(x-1)dx` equals toA. `((e^(3 Inx)-e^(Inx))/(2x))e^(x^(2))+C`B. `((x-1)xe^(x^(2)))/(2)+C`C. `((x^(2)-1))/(2x)e^(x^(2))+C`D. none of these |
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Answer» Correct Answer - d Let `I=int(e^(x^(x)+4Inx)-x^(3)e^(x^(2)))/(x-1)dx=int(e^(x^(2)).x^(4)-x^(3)e^(x^(2)))/(x-1)dx` `rArrI=intx^(3)e^(x^(2))dx=(1)/(2)intte^(t)dt`, where `t=x^(2)` `I=(1)/(2)(t-1)e^(t)+C=(1)/(2)(x^(2)-1)e^(x^(2))+C` |
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