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Popular >

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

Solution

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

Solution

\frac{4}{3}

+1

Decimal Notation

1.33333 \dots

Solution steps

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

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

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

= 1 + \frac{1}{3}

Simplify

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

= \frac{4}{3}

Popular Examples

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\int_{0}^{π} x sec^{2} (x) d x

integral from-infinity to 0 of 1/(5x^3)

\int_{- \infty}^{0} \frac{1}{5 x ^{3}} d x

integral from 0 to infinity of 3sin^2(a)

\int_{0}^{\infty} 3 sin^{2} (a) d a

integral from 0 to 2 of e^xcos(x)

\int_{0}^{2} e^{x} cos (x) d x

Frequently Asked Questions (FAQ)

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