$\smallint 32\,\,{x^3}{(\log \,\,x)^2}\,\,\;dx$ is equal to

${x^4}\{ \,8\,{(\log \,\,x)^2}\,\, - \,\,4\log \,x\,\} + \,c$

${x^3}\{ \,{(\log \,\,x)^2}\,\, + \,\,2\log \,\,x\} + c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int 32\,\,{x^3}{(\log \,\,x)^2}\,\,\;dx

is equal to

View answer and explanation

Correct option: B

{x^4}\,\{ \,8\,{(\log \,\,x)^2} - \,\,4\,\log \,\,x + 1\,\} + \,c

Option B is correct because the integral is solved using integration by parts twice.

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