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Integral of sec(9x)^2*x

\int x\sec\left(9x\right)^2\cdot dx

Step by step solution

Problem

$\int x\sec\left(9x\right)^2\cdot dx$

Show full step-by-step solution

Answer

$\left(\frac{1}{81}\ln\left(\cos\left(9x\right)\right)+\frac{1}{9}x\tan\left(9x\right)\right)+C_0$
$\int x\sec\left(9x\right)^2\cdot dx$

Main topic:

Integration by parts

Used formulas:

4. See formulas

Time to solve it:

0.41 seconds