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Question

Question: \[\frac{2}{\sqrt{\tan x}} + c\]...

2tanx+c\frac{2}{\sqrt{\tan x}} + c

A

2secx+c\frac{2}{\sqrt{\sec x}} + c

B

sin2xa2+b2sin2x6mudx=\int_{}^{}\frac{\sin 2x}{a^{2} + b^{2}\sin^{2}x}\mspace{6mu} dx =

C

1b2log(a2+b2sin2x)+c\frac{1}{b^{2}}\log(a^{2} + b^{2}\sin^{2}x) + c

D

1blog(a2+b2sin2x)+c\frac{1}{b}\log(a^{2} + b^{2}\sin^{2}x) + c

Answer

sin2xa2+b2sin2x6mudx=\int_{}^{}\frac{\sin 2x}{a^{2} + b^{2}\sin^{2}x}\mspace{6mu} dx =

Explanation

Solution

Put (1+x)1+c(1 + x)^{- 1} + c therefore

(1x)1+c(1 - x)^{- 1} + c.