Integration By Parts | Fera Academy

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Questions

Question 1

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Find \(\int x e^x\,dx\).

Question 2

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Find \(\int x\cos x\,dx\).

Question 3

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Find \(\int \ln x\,dx\) for \(x>0\).

Question 4

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Find \(\int x^2 e^x\,dx\).

Question 5

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Evaluate \(\int_0^1 x e^x\,dx\).

Question 6

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Find \(\int x\sin x\,dx\).

Question 7

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Find \(\int x\ln x\,dx\) for \(x>0\).

Question 8

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Evaluate \(\int_1^e \ln x\,dx\).

Question 9

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Find \(\int e^x\sin x\,dx\).

Question 10

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Find \(\int x^2\cos x\,dx\).