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Popular >

integral of 10x-x^2

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

integral of (x^{2/3}+3)

\int (x^{\frac{2}{3}} + 3) d x

derivative of y=arcsin(x/6)derivative of

y = arcsin (\frac{x}{6})

tangent of f(x)=x^2+6 tangent of

f (x) = x^{2} + 6

integral from 0 to 1 of 36pi(x^2-x^{10})

\int_{0}^{1} 36 π (x^{2} - x^{10}) d x

limit as x approaches 0 of 1-x

x \to 0 lim (1 - x)

Frequently Asked Questions (FAQ)

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