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Popular >

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

Solution

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

Solution

\frac{5}{3}

+1

Decimal Notation

1.66666 \dots

Solution steps

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

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

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

= \frac{2}{3} + 1

Simplify

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

= \frac{5}{3}

Popular Examples

integral from 2 to 4 of sqrt(16-r^2)r

\int_{2}^{4} 16 - r^{2} r d r

integral from 1 to 6 of (9/x-e^{-x})

\int_{1}^{6} (\frac{9}{x} - e^{- x}) d x

integral from 0 to 3 of (x^3-4x)

\int_{0}^{3} (x^{3} - 4 x) d x

integral from 0 to 3 of 3/(x+4)

\int_{0}^{3} \frac{3}{x + 4} d x

integral from 1 to e of 1/x ln(x)

\int_{1}^{e} \frac{1}{x} ln (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of 2x^2+1 ?
The integral from 0 to 1 of 2x^2+1 is 5/3