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Popular >

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

Solution

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

Solution

\frac{4}{3}

+1

Decimal Notation

1.33333 \dots

Solution steps

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

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

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

= \frac{1}{3} + 1

Simplify

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

= \frac{4}{3}

Popular Examples

integral from 0 to 1 of (10)/(1+p^2)

\int_{0}^{1} \frac{10}{1 + p ^{2}} d p

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

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

integral from-1 to 1 of (2-x^2)-(x^2)

\int_{- 1}^{1} (2 - x^{2}) - (x^{2}) d x

integral from 0 to pi/2 of 3xcos(2x)

\int_{0}^{\frac{π}{2}} 3 x cos (2 x) d x

integral from 0 to 5 of (x-1)/(x+1)

\int_{0}^{5} \frac{x - 1}{x + 1} d x

Frequently Asked Questions (FAQ)

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