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Popular >

integral of x^2+c

Solution

\int x^{2} + c d x

Solution

\frac{x ^{3}}{3} + c x + C

Solution steps

\int x^{2} + c 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 x^{2} d x + \int c d x

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

\int c d x = c x

= \frac{x ^{3}}{3} + c x

Add a constant to the solution

= \frac{x ^{3}}{3} + c x + C

Graph

Popular Examples

derivative of ((x+1(x^2+1))/(x-2))

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

derivative of f(x)=x^2(x^3-1)derivative of

f (x) = x^{2} (x^{3} - 1)

integral of 17ln(\sqrt[3]{x})

\int 17 ln (3 x) d x

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

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

derivative of (sqrt(9-x^2))/(8x)derivative of

\frac{9 - x ^{2}}{8 x}

Frequently Asked Questions (FAQ)

What is the integral of x^2+c ?
The integral of x^2+c is (x^3)/3+cx+C