(4\sec^{4}x + c) | MATH - FUNDAMENTAL INTEGRATION | SolveeIt

$4\sec^{4}x + c$

$\frac{\sec^{3}x}{3} + c$

$3\sec^{3}x + c$

$\int_{}^{}{e^{- x}\text{cose}\text{c}^{2}(2e^{- x} + 5)}\mspace{6mu} dx =$

None of these

Answer

$\frac{\sec^{3}x}{3} + c$

Explanation

$\frac{e^{2x} - 1}{e^{2x} + 1} + c$

$\log(e^{2x} + 1) - x + c$

$\log(e^{2x} + 1) + c$

$\int_{}^{}{\frac{\text{cosec}x}{{logtan}\frac{x}{2}}\mspace{6mu} dx =}$

Question: \(4\sec^{4}x + c\)...