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Question

Mathematics Question on Integration

∫4x9x10−10dx=\int\frac{4x^9}{x^{10}-10}dx=

A

15log⁡∣x10−10∣+C\frac{1}{5}\log|x^{10}-10|+C

B

25log⁡∣x10−10∣+C\frac{2}{5}\log|x^{10}-10|+C

C

110log⁡∣x10−10∣+C\frac{1}{10}\log|x^{10}-10|+C

D

−25log⁡∣x10−10∣+C\frac{-2}{5}\log|x^{10}-10|+C

E

−110log⁡∣x10−10∣+C\frac{-1}{10}\log|x^{10}-10|+C

Answer

25log⁡∣x10−10∣+C\frac{2}{5}\log|x^{10}-10|+C

Explanation

Solution

The correct option is (B): 25log⁡∣x10−10∣+C\frac{2}{5}\log|x^{10}-10|+C