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Question

Question: \(f(x) =\) equals....

f(x)=f(x) = equals.

A

logx+x22+2\log x + \frac{x^{2}}{2} + 2

B

logx+x22+1\log x + \frac{x^{2}}{2} + 1

C

logxx22+2\log x - \frac{x^{2}}{2} + 2

D

logxx22+1\log x - \frac{x^{2}}{2} + 1

Answer

logx+x22+2\log x + \frac{x^{2}}{2} + 2

Explanation

Solution

(3x2+5)=t(3x^{2} + 5) = t

sec2x(1+tanx)(2+tanx)6mudx\int_{}^{}{\frac{\sec^{2}x}{(1 + \tan x)(2 + \tan x)}\mspace{6mu} dx}.