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Popular >

integral of 4x^5-x^3

Solution

\int 4 x^{5} - x^{3} d x

Solution

\frac{2 x ^{6}}{3} - \frac{x ^{4}}{4} + C

Solution steps

\int 4 x^{5} - x^{3} 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 4 x^{5} d x - \int x^{3} d x

\int 4 x^{5} d x = \frac{2 x ^{6}}{3}

\int x^{3} d x = \frac{x ^{4}}{4}

= \frac{2 x ^{6}}{3} - \frac{x ^{4}}{4}

Add a constant to the solution

= \frac{2 x ^{6}}{3} - \frac{x ^{4}}{4} + C

Graph

Popular Examples

integral of 1/(x^4-2x^3)

\int \frac{1}{x ^{4} - 2 x ^{3}} d x

integral of 2/(3e^{-5x)-4}

\int \frac{2}{3 e ^{- 5 x} - 4} d x

integral of (x^{-4})

\int (x^{- 4}) d x

integral of x^2(4x^3-2)^3

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

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

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

Frequently Asked Questions (FAQ)

What is the integral of 4x^5-x^3 ?
The integral of 4x^5-x^3 is (2x^6)/3-(x^4)/4+C