What is the integral of 7sec(x)tan(x) ?

The integral of 7sec(x)tan(x) is 7sec(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 7sec(x)tan(x)

\int 7 sec (x) tan (x) d x

7 sec (x) + C

Solution steps

\int 7 sec (x) tan (x) d x

Take the constant out:

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

= 7 \cdot \int sec (x) tan (x) d x

Apply u-substitution

: \int 1 d u

= 7 \cdot \int 1 d u

Integral of a constant:

\int a d x = a x

= 7 \cdot 1 \cdot u

Substitute back

u = sec (x)

= 7 \cdot 1 \cdot sec (x)

Simplify

= 7 sec (x)

Add a constant to the solution

= 7 sec (x) + C

\int 15.76 e^{0.02 x} d x

\int \frac{cos ( x )}{sin ^{20} ( x )} d x

\int \frac{x ^{2}}{5 + x ^{6}} d x

\int \frac{5}{( 5 x - 3 ) ln ( 5 x - 3 )} d x

\int 3 x e^{x^{2} + 1} d x

What is the integral of 7sec(x)tan(x) ?
The integral of 7sec(x)tan(x) is 7sec(x)+C