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Popular >

integral of 5x^2-6x

Solution

\int 5 x^{2} - 6 x d x

Solution

\frac{5 x ^{3}}{3} - 3 x^{2} + C

Solution steps

\int 5 x^{2} - 6 x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 5 x^{2} d x - \int 6 x d x

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

\int 6 x d x = 3 x^{2}

= \frac{5 x ^{3}}{3} - 3 x^{2}

Add a constant to the solution

= \frac{5 x ^{3}}{3} - 3 x^{2} + C

Popular Examples

(dx)/(dt)= 6/(t+4)

\frac{d x}{d t} = \frac{6}{t + 4}

integral from-1 to 2 of (x+2)-x^2

\int_{- 1}^{2} (x + 2) - x^{2} d x

derivative of arccsc(-7x^2)

\frac{d}{d x} (arccsc (- 7 x^{2}))

limit as x approaches 30 of ((sin(x)))/x

x \to 30 lim (\frac{( sin ( x ) )}{x})

integral from 0 to 1 of 1/(x^4)

\int_{0}^{1} \frac{1}{x ^{4}} d x

Frequently Asked Questions (FAQ)

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