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Popular >

integral from 0 to 1 of 3-x^2

Solution

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

Solution

\frac{8}{3}

+1

Decimal Notation

2.66666 \dots

Solution steps

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

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

\int_{0}^{1} x^{2} d x = \frac{1}{3}

= 3 - \frac{1}{3}

Simplify

3 - \frac{1}{3} : \frac{8}{3}

= \frac{8}{3}

Popular Examples

integral from 1 to 4 of 2^x

\int_{1}^{4} 2^{x} d x

integral from 0 to infinito of 1

\int_{0}^{in f ini t o} 1 d x

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

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

integral from 1 to 3 of x^6ln(x)

\int_{1}^{3} x^{6} ln (x) d x

integral from 1 to cos(x) of 13t^{12}

\int_{1}^{c o s (x)} 13 t^{12} d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of 3-x^2 ?
The integral from 0 to 1 of 3-x^2 is 8/3