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Question

Question: \(\lbrack\tan^{- 1}x^{2}\rbrack^{2} + c\)...

[tan⁡−1x2]2+c\lbrack\tan^{- 1}x^{2}\rbrack^{2} + c

A

12[tan⁡−1x2]2+c\frac{1}{2}\lbrack\tan^{- 1}x^{2}\rbrack^{2} + c

B

2[tan⁡−1x2]2+c2\lbrack\tan^{- 1}x^{2}\rbrack^{2} + c

C

∫axxdx=\int_{}^{}{\frac{a^{\sqrt{x}}}{\sqrt{x}}dx =}

D

None of these

Answer

2[tan⁡−1x2]2+c2\lbrack\tan^{- 1}x^{2}\rbrack^{2} + c

Explanation

Solution

21+log⁡x+c2\sqrt{1 + \log x} + c

1+log⁡x+c\sqrt{1 + \log x} + c

∫sec⁡2x1+tan⁡x 6mudx=\int_{}^{}{\frac{\sec^{2}x}{1 + \tan x}\mspace{6mu} dx =}