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Popular >

integral of x^4-13

Solution

\int x^{4} - 13 d x

Solution

\frac{x ^{5}}{5} - 13 x + C

Solution steps

\int x^{4} - 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^{4} d x - \int 13 d x

\int x^{4} d x = \frac{x ^{5}}{5}

\int 13 d x = 13 x

= \frac{x ^{5}}{5} - 13 x

Add a constant to the solution

= \frac{x ^{5}}{5} - 13 x + C

Graph

Popular Examples

integral of (2x^2+x+1)/(x^3)

\int \frac{2 x ^{2} + x + 1}{x ^{3}} d x

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

integral of (7x+6)/(x^2+x+7)

\int \frac{7 x + 6}{x ^{2} + x + 7} d x

integral of (4x^5+2x^4+3x^2-x+6)

\int (4 x^{5} + 2 x^{4} + 3 x^{2} - x + 6) d x

integral of sin^6(x)*cos^3(x)

\int sin^{6} (x) \cdot cos^{3} (x) d x

Frequently Asked Questions (FAQ)

What is the integral of x^4-13 ?
The integral of x^4-13 is (x^5)/5-13x+C