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Popular >

integral of x^2-13

Solution

\int x^{2} - 13 d x

Solution

\frac{x ^{3}}{3} - 13 x + C

Solution steps

\int x^{2} - 13 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 13 d x

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

\int 13 d x = 13 x

= \frac{x ^{3}}{3} - 13 x

Add a constant to the solution

= \frac{x ^{3}}{3} - 13 x + C

Popular Examples

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\frac{d}{d x} (- \frac{20000}{1 + 0.2 x})

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\frac{d}{d x} (csc^{3} (3 - x))

integral of (8x+1)/((4x^2+x)^6)

\int \frac{8 x + 1}{( 4 x ^{2} + x ) ^{6}} d x

integral of 1/(xlog_{x)(x)}

\int \frac{1}{x lo g _{x} ( x )} d x

(dy)/(dx)=x^2+1

\frac{d y}{d x} = x^{2} + 1

Frequently Asked Questions (FAQ)

What is the integral of x^2-13 ?
The integral of x^2-13 is (x^3)/3-13x+C