What is the integral of sec^n(x ?

The integral of sec^n(x is (x^2sec^n(d))/2+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sec^n(x

\int sec^{n} (d) x d x

\frac{x ^{2} sec ^{n} ( d )}{2} + C

Solution steps

\int sec^{n} (d) x d x

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{2}}{2}

= sec^{n} (d) \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{x ^{2} sec ^{n} ( d )}{2}

Add a constant to the solution

= \frac{x ^{2} sec ^{n} ( d )}{2} + C

\int 10 - 1.5 x^{\frac{1}{2}} d x

\int x^{4} ln (6 x) d x

\int x e^{(- 5 x)} d x

\int (3 - 18 x^{2}) csc^{2} (2 x^{3} - x) d x

\int 4 x tan (x^{2}) d x