Question:medium
$\int x(1+2\log x)dx$ is equal to
$\int x(1+2\log x)dx$ is equal to
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Logic Tip: In calculus exams, "$\log x$" almost exclusively refers to the natural logarithm "$\ln x$". Also, differentiating options of the form $x^n \ln x$ will always yield $n x^{n-1} \ln x + x^{n-1}$. This pattern makes reverse-engineering the integral extremely fast.
Updated On: Apr 27, 2026
- $x\log x+C$
- $x^{2}\log x+C$
- $x^{3}\log x+C$
- $2x\log x+C$
- $3x\log x+C$
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The Correct Option is B
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