What is the integral of (4x^5-x^3-5x) ?

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

Popular >

integral of (4x^5-x^3-5x)

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

\frac{2 x ^{6}}{3} - \frac{x ^{4}}{4} - \frac{5 x ^{2}}{2} + C

Solution steps

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

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

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

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

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

Add a constant to the solution

= \frac{2 x ^{6}}{3} - \frac{x ^{4}}{4} - \frac{5 x ^{2}}{2} + C

\int - 8 x^{7} y^{- 5} + 6 x^{6} y^{- 4} d y

\int (ln (x))^{10} \frac{1}{x} d x

y^{^{'''}} - y^{^{''}} + 8 y^{^{'}} - 8 y = 0

25 x e^{- x}

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

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