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Popular >

integral from 0 to 1 of 2x-x^3

Solution

\int_{0}^{1} 2 x - x^{3} d x

Solution

\frac{3}{4}

+1

Decimal Notation

0.75

Solution steps

\int_{0}^{1} 2 x - 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_{0}^{1} 2 x d x - \int_{0}^{1} x^{3} d x

\int_{0}^{1} 2 x d x = 1

\int_{0}^{1} x^{3} d x = \frac{1}{4}

= 1 - \frac{1}{4}

Simplify

1 - \frac{1}{4} : \frac{3}{4}

= \frac{3}{4}

Popular Examples

integral from 0 to 1 of e^xsqrt(1+e^x)

\int_{0}^{1} e^{x} 1 + e^{x} d x

integral from 0 to 1 of x^2sqrt(4x+7)

\int_{0}^{1} x^{2} 4 x + 7 d x

integral from 0 to 2 of 38z^2ln(z)

\int_{0}^{2} 38 z^{2} ln (z) d z

integral from pi/4 to pi/2 of (csc^2(x))

\int_{\frac{π}{4}}^{\frac{π}{2}} (csc^{2} (x)) d x

integral from 0 to infinity of xe^{-x/5}

\int_{0}^{\infty} x e^{- \frac{x}{5}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of 2x-x^3 ?
The integral from 0 to 1 of 2x-x^3 is 3/4