What is the integral of (-7sec^2(x)) ?

The integral of (-7sec^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

Popular >

integral of (-7sec^2(x))

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

- 7 tan (x) + C

Solution steps

\int - 7 sec^{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 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

\frac{x ^{2}}{x ^{2} + 3}

y = \frac{x + x}{x ^{2}}

\int (2 x - \frac{3}{x})^{2} d x

(- 7, - 9), (- 2, - 9)

\int (x^{1.4} + 7 x^{2.5}) d x

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