ddx∫$$x2x3$$ $$1log$$⁡tdt is equal to

Correct option is 3x2−xlog⁡x

Questions

$\frac{d}{dx} (\int_{x^{2}}^{x^{3}} \frac{1}{\log t} dt)$ is equal to

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1log⁡x

x2log⁡x

x2−xlog⁡x

None of these

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detailed solution

Correct option is C

ddx∫x2x3 1log⁡t⋅dt=1log⁡x3⋅ddx(x)3−1log⁡x2⋅ddxx2=3x23log⁡x−2x2log⁡x⇒ddx∫x2x3 1log⁡tdt=1log⁡x⋅x2−x

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ddx∫x2x3 1log⁡tdt is equal to

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$\frac{d}{dx} (\int_{x^{2}}^{x^{3}} \frac{1}{\log t} dt)$ is equal to