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Popular >

integral of (-2)x

Solution

\int (- 2) x d x

Solution

- x^{2} + C

Solution steps

\int (- 2) x d x

Take the constant out:

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

= - 2 \cdot \int x d x

Apply the Power Rule

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

= - 2 \cdot \frac{x ^{2}}{2}

Simplify

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

= - x^{2}

Add a constant to the solution

= - x^{2} + C

Popular Examples

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\int_{0}^{1} x^{2} 6 x + 8 d x

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\int \frac{( 7 x ^{2} + 5 x + 7 )}{( x ^{2} + 1 ) ^{2}} d x

derivative of (16/(x^2)-4/x)

\frac{d}{d x} (\frac{16}{x ^{2}} - \frac{4}{x})

derivative of f(x)=(a^{1/x}+b^{1/x})^x derivative of

f (x) = (a^{\frac{1}{x}} + b^{\frac{1}{x}})^{x}

integral of (x^3)/(sqrt(5x^2+\sqrt{2))}

\int \frac{x ^{3}}{5 x ^{2} + 2} d x

Frequently Asked Questions (FAQ)

What is the integral of (-2)x ?
The integral of (-2)x is -x^2+C