∫$$dx9$$−$$25x2$$ is equal to

Correct option is 315sin−1⁡5x3+C

Questions

$\int \frac{dx}{\sqrt{9 - 25 x^{2}}}$ is equal to

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sin−1⁡5x3+C

32sin−1⁡5x3+C

15sin−1⁡5x3+C

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detailed solution

Correct option is C

∫dx9−25x2=∫dx25352−x2=15∫dx352−x2 =15sin−1⁡x3/5+C∵∫dxa2−x2=sin−1⁡xa =15sin−1⁡5x3+C

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∫dx9−25x2 is equal to

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$\int \frac{dx}{\sqrt{9 - 25 x^{2}}}$ is equal to