What is the integral of 5/6 sec(x)tan(x) ?

The integral of 5/6 sec(x)tan(x) is 5/6 sec(x)+C

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integral of 5/6 sec(x)tan(x)

\int \frac{5}{6} sec (x) tan (x) d x

\frac{5}{6} sec (x) + C

Solution steps

\int \frac{5}{6} sec (x) tan (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{5}{6} \cdot \int sec (x) tan (x) d x

Apply u-substitution

: \int 1 d u

= \frac{5}{6} \cdot \int 1 d u

Integral of a constant:

\int a d x = a x

= \frac{5}{6} \cdot 1 \cdot u

Substitute back

u = sec (x)

= \frac{5}{6} \cdot 1 \cdot sec (x)

Simplify

= \frac{5}{6} sec (x)

Add a constant to the solution

= \frac{5}{6} sec (x) + C

y^{2} d x + 2 x y d y = 0

\frac{d}{d t} (\frac{t}{s})

n = 0 \sum \infty \frac{n !}{6 ^{n}}

x \to 1 lim (- x - 8)

What is the integral of 5/6 sec(x)tan(x) ?
The integral of 5/6 sec(x)tan(x) is 5/6 sec(x)+C