InterviewSolution
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int_(0)^(1)x e^(x^(2)) dx |
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Answer» Solution :`" LET I=" int_(0)^(1) xe^(x^(2))dx` `"Let "x^(2)=trArr 2x=(DT)/(dx) rArr XD x= (dt)/(2)` `x=0rArr t=0 ` `"and " x=1 rArrt=1` ` :, I=(1)/(2) int_(0)^(1) E^(t) dt=(1)/(2)[e^(t)]_(0)^(1)` `=(1)/(2)(e^(1)-e^(0))=(1)/(2)(e-1)` |
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