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Popular >

integral of x^2-6xx

Solution

\int x^{2} - 6 xx d x

Solution

- \frac{5 x ^{3}}{3} + C

Solution steps

\int x^{2} - 6 xx d x

Simplify

x^{2} - 6 xx : - 5 x^{2}

= \int - 5 x^{2} d x

Take the constant out:

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

= - 5 \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= - 5 \cdot \frac{x ^{3}}{3}

Multiply fractions:

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

= - \frac{5 x ^{3}}{3}

Add a constant to the solution

= - \frac{5 x ^{3}}{3} + C

Popular Examples

(dy)/(dx)=sqrt(14x+y)-14

\frac{d y}{d x} = 14 x + y - 14

derivative of x^2+y^2-6x-4y-21

\frac{d}{d x} (x^{2} + y^{2} - 6 x - 4 y - 21)

derivative of (e+5sqrt(x)/(cos(e^{4x))})

\frac{d}{d x} (\frac{e + 5 x}{cos ( e ^{4 x} )})

integral of cos^2(x)sin^5(x)

\int cos^{2} (x) sin^{5} (x) d x

(\partial)/(\partial u)(ln(u^2+v^2+w^2))

\frac{\partial}{\partial u} (ln (u^{2} + v^{2} + w^{2}))

Frequently Asked Questions (FAQ)

What is the integral of x^2-6xx ?
The integral of x^2-6xx is -(5x^3)/3+C