HPCET Repeated IBP — practice questions

Explore 1 free Repeated IBP questions in HPCET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Repeated IBP questions and exercises with answers

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$\displaystyle\int_1^e (\ln x)^2\, dx = ?$Read the answer and worked solution →

Worked practice questions

$\displaystyle\int_1^e (\ln x)^2\, dx = ?$

$e - 2$
$e + 2$
$e^2 - 1$
$2e - 1$

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Correct answer: A. $e - 2$

**IBP:** $u = (\ln x)^2$, $dv = dx$. $= [x(\ln x)^2]_1^e - \int_1^e 2\ln x\, dx = e \cdot 1 - 0 - 2[x\ln x - x]_1^e = e - 2[(e - e) - (0 - 1)] = e - 2(1) = e - 2$.

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HPCET Repeated IBP — practice questions

Repeated IBP questions and exercises with answers

Worked practice questions

$\displaystyle\int_1^e (\ln x)^2\, dx = ?$

How to practise

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