What is the integral of insec(x)tan(x) ?

The integral of insec(x)tan(x) is insec(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of insec(x)tan(x)

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

in sec (x) + C

Solution steps

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

Take the constant out:

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

= in \cdot \int sec (x) tan (x) d x

Apply u-substitution

: \int 1 d u

= in \cdot \int 1 d u

Integral of a constant:

\int a d x = a x

= in \cdot 1 \cdot u

Substitute back

u = sec (x)

= in \cdot 1 \cdot sec (x)

Simplify

= in sec (x)

Add a constant to the solution

= in sec (x) + C

9 y^{^{''}} + y = 0, y (\frac{3 π}{2}) = 6, y (0) = - 8

x + y = 0, x = y^{2} + 3 y

\int k e^{- k x} d x

ln (x^{100})

\int_{- 2}^{2} x^{2} d x

What is the integral of insec(x)tan(x) ?
The integral of insec(x)tan(x) is insec(x)+C