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Popular >

integral of-sin(x

Solution

\int - sin (d) x d x

Solution

- \frac{1}{2} x^{2} sin (d) + C

Solution steps

\int - sin (d) x d x

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{2}}{2}

= - sin (d) \frac{x ^{2}}{2}

Simplify

- sin (d) \frac{x ^{2}}{2} : - \frac{1}{2} x^{2} sin (d)

= - \frac{1}{2} x^{2} sin (d)

Add a constant to the solution

= - \frac{1}{2} x^{2} sin (d) + C

Popular Examples

integral from 0 to 1 of \sqrt[4]{x}

integral of (x+1)e^{3x^2+6x}

\int (x + 1) e^{3 x^{2} + 6 x} d x

derivative of Axe^{-2x}

\frac{d}{d x} (A x e^{- 2 x})

derivative of (2x-x^2/(3x^2+2))

\frac{d}{d x} (\frac{2 x - x ^{2}}{3 x ^{2} + 2})

(\partial)/(\partial x)(x/(x^7-y^4))

\frac{\partial}{\partial x} (\frac{x}{x ^{7} - y ^{4}})

Frequently Asked Questions (FAQ)

What is the integral of-sin(x ?
The integral of-sin(x is -1/2 x^2sin(d)+C