InterviewSolution
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InterviewSolution
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The value of `inte^(x)(x^(5)+5x^(4)+1)dx` isA. `e^(x).x^(5)+C`B. `e^(x).x^(5)+e^(x)+C`C. `e^(x+1).e^(5)+C`D. `5x^(4).e^(x)+C` |
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Answer» Correct Answer - B Let `l=int e^(x)(x^(5)+5x^(4)+1)dx` `=int e^(x)x^(5)dx+5inte^(x)x^(4)dx+inte^(x)dx` integration by parts, we get `x^(5)e^(x)-int 5x^(4)e^(x)dx+5 int e^(x)x^(4)dx+e^(x)=x^(5)e^(x)+e^(x)+C` |
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