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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

d/(dθ)(e^{tan(θ)})

\frac{d}{d θ} (e^{t a n (θ)})

integral from 0 to 1 of y/(e^{5y)}

\int_{0}^{1} \frac{y}{e ^{5 y}} d y

integral of (2xsqrt(x)-1/(sqrt(x)))

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

3y^{''}-11y^'+10y=0,y(0)=8,y^'(0)=-4

3 y^{^{''}} - 11 y^{^{'}} + 10 y = 0, y (0) = 8, y^{^{'}} (0) = - 4

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

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

Frequently Asked Questions (FAQ)

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