What is the integral of tan(x)*sec^2(x) ?

The integral of tan(x)*sec^2(x) is (tan^2(x))/2+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^2(x)

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

\frac{tan ^{2} ( x )}{2} + C

Solution steps

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

Apply u-substitution

: \int u d u

= \int u d u

Apply the Power Rule

: \frac{u ^{2}}{2}

= \frac{u ^{2}}{2}

Substitute back

u = tan (x)

= \frac{tan ^{2} ( x )}{2}

Add a constant to the solution

= \frac{tan ^{2} ( x )}{2} + C

\frac{s}{( s - 1 ) ( s ^{2} + 2 s + 2 )}

\frac{d}{d x} (cos^{2} (x) - 2 sin (x))

\int \frac{x ^{5}}{1 - 3 x ^{3}} d x

\frac{\partial}{\partial x} (t e^{- 2 x} + cos (x))

4 - \frac{3}{x ^{2}}, at x = 4

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