\[- \log(\cos^{- 1}x) + c] | MATH - INTEGRATION BY SUBSTITUTION | SolveeIt | Solveeit

Today, August 19

Question

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

A

$- \frac{1}{2(\cos^{- 1}x)^{2}} + c$

B

$\int_{}^{}{x^{3}e^{3x^{2} + 5}}dx$

C

$x^{2} = t$

D

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

Answer

$x^{2} = t$

Explanation

Solution

$\cot x$

$\int_{}^{}{\frac{\sin x + \text{cosec}x}{\tan x}dx =}$

$\sin x - \text{cosec}x + c$