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Popular >

integral of (x^3-2x)

Solution

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

Solution

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

Solution steps

\int x^{3} - 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^{3} d x - \int 2 x d x

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

(\partial)/(\partial y)(3x^{4y})

\frac{\partial}{\partial y} (3 x^{4 y})

tangent of y= 6/x ,\at x=2 tangent of

y = \frac{6}{x}, at x = 2

derivative of 2x(1-x)

\frac{d}{d x} (2 x (1 - x))

integral of 4/(x^2-14x+50)

\int \frac{4}{x ^{2} - 14 x + 50} d x

integral from 0 to 4 of (3sqrt(t)-2e^t)

\int_{0}^{4} (3 t - 2 e^{t}) d t

Frequently Asked Questions (FAQ)

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