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Question

Question: \(x^{3} - 4\sqrt{x} + c\)...

x34x+cx^{3} - 4\sqrt{x} + c

A

dx1+sinx=tan(x2+a)+b\int_{}^{}{\frac{dx}{1 + \sin x} = \tan\left( \frac{x}{2} + a \right) + b}

B

a=π4,6mub=3a = \frac{\pi}{4},\mspace{6mu} b = 3

C

a=π4,6mub=3a = - \frac{\pi}{4},\mspace{6mu} b = 3

D

a=π4,6mub=a = \frac{\pi}{4},\mspace{6mu} b =

Answer

dx1+sinx=tan(x2+a)+b\int_{}^{}{\frac{dx}{1 + \sin x} = \tan\left( \frac{x}{2} + a \right) + b}

Explanation

Solution

log(1+ex)x+ex+c\log(1 + e^{x}) - x + e^{- x} + c

log(1+ex)+x+ex+c\log(1 + e^{x}) + x + e^{- x} + c