What is the integral of sec(6x)tan(6x) ?

The integral of sec(6x)tan(6x) is 1/6 sec(6x)+C

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integral of sec(6x)tan(6x)

\int sec (6 x) tan (6 x) d x

\frac{1}{6} sec (6 x) + C

Solution steps

\int sec (6 x) tan (6 x) d x

Apply u-substitution

: \int \frac{1}{6} d u

= \int \frac{1}{6} d u

Integral of a constant:

\int a d x = a x

= \frac{1}{6} u

Substitute back

u = sec (6 x)

= \frac{1}{6} sec (6 x)

Add a constant to the solution

= \frac{1}{6} sec (6 x) + C

x \to 1000 lim (x^{\frac{8}{3}})

\frac{\partial}{\partial x} (\frac{1}{1 + x ^{2}})

\frac{d}{d x} ((\frac{x - 3}{x + 2})^{12})

\frac{d}{d x} (\frac{1}{16} e^{2 x^{2}})

\frac{d}{d y} (y - y^{2})

What is the integral of sec(6x)tan(6x) ?
The integral of sec(6x)tan(6x) is 1/6 sec(6x)+C