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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of tan(x)sec(x)

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

sec (x) + C

Solution steps

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

Apply u-substitution

: \int 1 d u

= \int 1 d u

Integral of a constant:

\int a d x = a x

= 1 \cdot u

Substitute back

u = sec (x)

= 1 \cdot sec (x)

Simplify

= sec (x)

Add a constant to the solution

= sec (x) + C

y = arctan (ln (2) x^{4})

(- 3, 4), (4, 1)

\int_{- 2}^{1} \frac{1}{2} x^{2} + x + 1 d x

\frac{d}{d x} (ln (- 5 x + 2 x^{- 2}))

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