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Popular >

integral of-15x

Solution

\int - 15 x d x

Solution

- \frac{15 x ^{2}}{2} + C

Solution steps

\int - 15 x d x

Take the constant out:

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

= - 15 \cdot \int x d x

Apply the Power Rule

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

= - 15 \cdot \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{15 x ^{2}}{2}

Add a constant to the solution

= - \frac{15 x ^{2}}{2} + C

Popular Examples

integral of (x^2)/(5x^3+3)

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

integral of sin(13t)sec^2(cos(13t))

\int sin (13 t) sec^{2} (cos (13 t)) d t

integral of (x^2+1)(2x)

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

integral of 2x+5/(2x^2)

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

integral of 1/(v(v+b))

\int \frac{1}{v ( v + b )} d v

Frequently Asked Questions (FAQ)

What is the integral of-15x ?
The integral of-15x is -(15x^2)/2+C