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

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

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integral of (sin(t)cos(t))

\int (sin (t) cos (t)) d t

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

Solution steps

\int sin (t) cos (t) d t

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 (t)

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

Add a constant to the solution

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

x \to \infty lim (- 4^{x})

\int \frac{1}{( 1 - u ^{2} ) ^{\frac{3}{2}}} d u

\int \frac{1}{1 - x} d x

\frac{d}{d x} (e^{s i n (3 x^{2})})

\int x 2 x - 3 d x

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