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Popular >

integral of (1-x^3)

Solution

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

Solution

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

Solution steps

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

\int 1 d x = x

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

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

Add a constant to the solution

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

Popular Examples

integral of (x^4+4e^{4x})

\int (x^{4} + 4 e^{4 x}) d x

integral of 1/(2x^2-16x+40)

\int \frac{1}{2 x ^{2} - 16 x + 40} d x

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

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

integral of 5(400+5t)^3

\int 5 (400 + 5 t)^{3} d t

integral of ((1-u))/((1+u))

\int \frac{( 1 - u )}{( 1 + u )} d u

Frequently Asked Questions (FAQ)

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