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Popular >

integral of x^3-1

Solution

\int x^{3} - 1 d x

Solution

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

Solution steps

\int x^{3} - 1 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 1 d x

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

\int 1 d x = x

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

Add a constant to the solution

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

Popular Examples

integral of (x+3)(x^2+6x+7)^6

\int (x + 3) (x^{2} + 6 x + 7)^{6} d x

derivative of f(x)=2x^4-16x^2+6 derivative of

f (x) = 2 x^{4} - 16 x^{2} + 6

integral of (3cos(x)-e^x+5/x)

\int (3 cos (x) - e^{x} + \frac{5}{x}) d x

(dy)/(dx)=0.4^{x/3}

\frac{d y}{d x} = 0. 4^{\frac{x}{3}}

3 y^{^{''}} + 5 y^{^{'}} = 0

Frequently Asked Questions (FAQ)

What is the integral of x^3-1 ?
The integral of x^3-1 is (x^4)/4-x+C