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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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∫10x9+10xlog⁡e1010x+x10dx=\int \frac{10 x^9+10^x \log _e 10}{10^x+x^{10}} d x=
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Correct option: B
log⁡(10x+x10)+c\log \left(10^x+x^{10}\right)+c
Option B (log⁡(10x+x10)+c\log \left(10^x+x^{10}\right)+c) is correct because the derivative of the denominator is exactly the numerator.

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