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

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

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integral of sin(θ)*cos(θ)

\int sin (θ) \cdot cos (θ) d θ

\frac{sin ^{2} ( θ )}{2} + C

Solution steps

\int sin (θ) cos (θ) d θ

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 (θ)

= \frac{sin ^{2} ( θ )}{2}

Add a constant to the solution

= \frac{sin ^{2} ( θ )}{2} + C

\int 2 x - 2 d x

\int \frac{7}{x ^{6}} d x

x^{2} \cdot e^{x}

x \to 2 + lim (\frac{9 x}{x - 2})

\int (\frac{ln ( 2 x )}{( x + 1 ) ^{3}}) d x

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