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

The integral of cos^2(x)tan(x) is (sin^2(x))/2+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of cos^2(x)tan(x)

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

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

Solution steps

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

Rewrite using trig identities

= \int sin (x) cos (x) d x

Apply u-substitution

= \int u d u

Apply the Power Rule

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

Substitute back

u = sin (x)

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

Add a constant to the solution

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

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