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

y = x^{3} + 4 x, (1, 5)

x \to - 10 lim (∣ x + 10 ∣ + 3)

f (x) = \frac{1}{x ^{5}} - x^{2} - 2 x, at x = 1

f (x) = \frac{x ^{2}}{e ^{x}}

x \to 0 lim (\frac{2}{x} - \frac{2}{x ^{2} + x})

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