What is the integral of 7(1+tan^2(x)) ?

The integral of 7(1+tan^2(x)) is 7tan(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of 7(1+tan^2(x))

\int 7 (1 + tan^{2} (x)) d x

7 tan (x) + C

Solution steps

\int 7 (1 + tan^{2} (x)) d x

Take the constant out:

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

= 7 \cdot \int 1 + tan^{2} (x) d x

Rewrite using trig identities

= 7 \cdot \int sec^{2} (x) d x

Use the common integral:

\int sec^{2} (x) d x = tan (x)

= 7 tan (x)

Add a constant to the solution

= 7 tan (x) + C

What is the integral of 7(1+tan^2(x)) ?
The integral of 7(1+tan^2(x)) is 7tan(x)+C