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) 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{\partial}{\partial x} ((3 x^{2} + 5 x + 1) (y + 4))

y = (x - 5) (x + 4) (x + 6)

\int \frac{1}{x cos ^{2} ( ln ( x ) )} d x

\int (5 + e^{3 x^{2}}) x d x

\frac{1}{t ^{2} + 5 t - 4}

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