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Popular >

integral of (x^4-2x)

Solution

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

Solution

\frac{x ^{5}}{5} - x^{2} + C

Solution steps

\int x^{4} - 2 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 x^{4} d x - \int 2 x d x

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

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

= \frac{x ^{5}}{5} - x^{2}

Add a constant to the solution

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

Popular Examples

derivative of xarcsec(x^3)

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

x y d x + (x + 1) d y = 0

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

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

tangent of f(x)=7x-4sqrt(x),\at x=1 tangent of

f (x) = 7 x - 4 x, at x = 1

derivative of g(x)=9xe^{5x}derivative of

g (x) = 9 x e^{5 x}

Frequently Asked Questions (FAQ)

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