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Popular >

integral from 0 to 1 of x^2+2

Solution

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

Solution

\frac{7}{3}

+1

Decimal Notation

2.33333 \dots

Solution steps

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

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

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

= \frac{1}{3} + 2

Simplify

\frac{1}{3} + 2 : \frac{7}{3}

= \frac{7}{3}

Popular Examples

integral of (tan(2/x))/(x^2)

\int \frac{tan ( \frac{2}{x} )}{x ^{2}} d x

sum from n=1 to infinity of (2n+1)/(7^n)

n = 1 \sum \infty \frac{2 n + 1}{7 ^{n}}

integral from-1 to 1 of tan(x)

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

limit as x approaches 1-of-x^2+5x+a

x \to 1 - lim (- x^{2} + 5 x + a)

integral from-pi to pi of sin^2(x)

\int_{- π}^{π} sin^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of x^2+2 ?
The integral from 0 to 1 of x^2+2 is 7/3