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Popular >

integral from 0 to 1 of x+x^2

Solution

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

Solution

\frac{5}{6}

+1

Decimal

0.83333 \dots

Solution steps

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

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

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

= \frac{1}{2} + \frac{1}{3}

Simplify

\frac{1}{2} + \frac{1}{3} : \frac{5}{6}

= \frac{5}{6}

Graph

Popular Examples

integral from 0 to 3 of tsqrt(1+4t^2)

\int_{0}^{3} t 1 + 4 t^{2} d t

integral from 0 to 0.5 of 1/(xln^2|x|)

\int_{0}^{0.5} \frac{1}{x ln ^{2} ∣ x ∣} d x

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

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

integral from 0 to a of 1/(a^2-x^2)

\int_{0}^{a} \frac{1}{a ^{2} - x ^{2}} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of x+x^2 ?
The integral from 0 to 1 of x+x^2 is 5/6