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Popular >

integral of (x^3-3)

Solution

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

Solution

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

Solution steps

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

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

Popular Examples

integral of xsin(7x^2)cos(8x^2)

\int x sin (7 x^{2}) cos (8 x^{2}) d x

integral of y-x^3

\int y - x^{3} d x

limit as n approaches infinity of 1/(3n)

n \to \infty lim (\frac{1}{3 n})

limit as x approaches-2+of (2-|x|)/(2+x)

x \to - 2 + lim (\frac{2 - ∣ x ∣}{2 + x})

(\partial)/(\partial x)((1/12)pix^2y)

\frac{\partial}{\partial x} ((\frac{1}{12}) π x^{2} y)

Frequently Asked Questions (FAQ)

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