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

The integral of tan(θ)sec^2(θ) is (tan^2(θ))/2+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of tan(θ)sec^2(θ)

\int tan (θ) sec^{2} (θ) d θ

\frac{tan ^{2} ( θ )}{2} + C

Solution steps

\int tan (θ) sec^{2} (θ) d θ

Apply u-substitution

= \int u d u

Apply the Power Rule

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

Substitute back

u = tan (θ)

= \frac{tan ^{2} ( θ )}{2}

Add a constant to the solution

= \frac{tan ^{2} ( θ )}{2} + C

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