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

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

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integral of (sin(x)*cos(x))

\int (sin (x) \cdot 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} (cos^{3} (x^{2}))

y^{^{''}} - 2 y^{^{'}} + y = 3 e^{2 x}

y = \frac{4}{x}, (- 5, - \frac{4}{5})

7 x y \frac{d y}{d x} = 1

(- 5, - 7), (4, - 1)

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