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Popular >

integral of 2x^2-10x

Solution

\int 2 x^{2} - 10 x d x

Solution

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

Solution steps

\int 2 x^{2} - 10 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 2 x^{2} d x - \int 10 x d x

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

\int 10 x d x = 5 x^{2}

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

Add a constant to the solution

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

Popular Examples

integral of (40)/(16-x^2)

\int \frac{40}{16 - x ^{2}} d x

(d^2)/(dx^2)(8/(9x^5))

\frac{d ^{2}}{d x ^{2}} (\frac{8}{9 x ^{5}})

(\partial)/(\partial z)((x-y)/(y+z))

\frac{\partial}{\partial z} (\frac{x - y}{y + z})

integral of (e^t+t^e)

\int (e^{t} + t^{e}) d t

area 2/x ,8x, x/2 area

\frac{2}{x}, 8 x, \frac{x}{2}

Frequently Asked Questions (FAQ)

What is the integral of 2x^2-10x ?
The integral of 2x^2-10x is (2x^3)/3-5x^2+C