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Popular >

integral of (-2ax)

Solution

\int (- 2 a x) d x

Solution

- a x^{2} + C

Solution steps

\int - 2 a x d x

Take the constant out:

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

= - 2 a \cdot \int x d x

Apply the Power Rule

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

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

Simplify

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

= - a x^{2}

Add a constant to the solution

= - a x^{2} + C

Popular Examples

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\int (5 sin (2 x) - 7 cos (3 x)) d x

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\int - x 6^{- \frac{2}{3} x} d x

integral of 1000(1+(4x)/(2+x^2))

\int 1000 (1 + \frac{4 x}{2 + x ^{2}}) d x

integral of ([ln(x)+7]^3)/x

\int \frac{[ ln ( x ) + 7 ] ^{3}}{x} d x

integral of (rsqrt(ln(r^2+1)))/(r^2+1)

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

Frequently Asked Questions (FAQ)

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