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

The integral of sin(x)cos(x is cos(d)(-xcos(x)+sin(x))+C

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integral of sin(x)cos(x

\int sin (x) cos (d) x d x

cos (d) (- x cos (x) + sin (x)) + C

Solution steps

\int sin (x) cos (d) x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= cos (d) \cdot \int sin (x) x d x

Apply Integration By Parts

: - x cos (x) - \int - cos (x) d x

= cos (d) (- x cos (x) - \int - cos (x) d x)

\int - cos (x) d x = - sin (x)

= cos (d) (- x cos (x) - (- sin (x)))

Simplify

= cos (d) (- x cos (x) + sin (x))

Add a constant to the solution

= cos (d) (- x cos (x) + sin (x)) + C

\frac{d y}{d x} = 11 e^{x - y}

\frac{d}{d x} (tan (x) - x)

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

\frac{d y}{d t} = t y

6 - 52 x - \frac{1}{2}

What is the integral of sin(x)cos(x ?
The integral of sin(x)cos(x is cos(d)(-xcos(x)+sin(x))+C