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Popular >

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

Solution

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

Solution

\frac{2}{3}

+1

Decimal Notation

0.66666 \dots

Solution steps

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

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

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

= - \frac{1}{3} + 1

Simplify

- \frac{1}{3} + 1 : \frac{2}{3}

= \frac{2}{3}

Popular Examples

integral from-1 to 1 of 1/(5-4x)

\int_{- 1}^{1} \frac{1}{5 - 4 x} d x

integral from 2 to 4 of 2

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

integral from 1 to 2 of (1+1/u+1/(u^2))

\int_{1}^{2} (1 + \frac{1}{u} + \frac{1}{u ^{2}}) d u

integral from-2 to 0 of 2x^2e^{3x^3+7}

\int_{- 2}^{0} 2 x^{2} e^{3 x^{3} + 7} d x

integral from 2 to 3 of x^4

\int_{2}^{3} x^{4} d x

Frequently Asked Questions (FAQ)

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