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

The integral of (sin(x))(cos(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 (sin(x))(cos(x))

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

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

Solution steps

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

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

Add a constant to the solution

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

\frac{d}{d x} ((x^{5} - 9) x)

x = - 3, x = 1, y = x^{3} + 1, y = 0

\int_{2}^{\infty} x e^{- 2 x} d x

\frac{\partial}{\partial x} (y x - y - x)

\frac{d}{d x} (\frac{( 1 + tan ( x ) ) ^{2}}{sec ( x )})

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