What is the integral of cos(x)sin(x) ?

The integral of cos(x)sin(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

Popular >

integral of cos(x)sin(x)

integral

cos (x) sin (x)

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

Solution steps

\int cos (x) sin (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

\int \frac{x}{9 + 4 x ^{2}} d x

\int \frac{e ^{2 x}}{1 + 3 e ^{2 x}} d x

\int sec (x) (5 sec (x) + 4 tan (x)) d x

\int \frac{1}{x ( 1 + 3 x )} d x

\int \frac{1}{x ( 1 + x ^{8} )} d x

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