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Popular >

integral from 0 to 1 of (1-x^3)

Solution

\int_{0}^{1} (1 - x^{3}) d x

Solution

\frac{3}{4}

+1

Decimal Notation

0.75

Solution steps

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

\int_{0}^{1} 1 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

derivative of (tan(2x)^3)

\frac{d}{d x} ((tan (2 x))^{3})

y^'=sqrt(1-y^2)

y^{^{'}} = 1 - y^{2}

derivative of (2x-7)^4(x^2+x+1)^5 derivative of

(2 x - 7)^{4} (x^{2} + x + 1)^{5}

derivative of (9z^4+3z^2+1)(3z^3-z)derivative of

(9 z^{4} + 3 z^{2} + 1) (3 z^{3} - z)

y^'=8x+y,y(0)=4

y^{^{'}} = 8 x + y, y (0) = 4

Frequently Asked Questions (FAQ)

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