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Popular >

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

Solution

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

Solution

\frac{70}{3}

+1

Decimal Notation

23.33333 \dots

Solution steps

\int_{1}^{3} 2 x^{2} + 3 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_{1}^{3} 2 x^{2} d x + \int_{1}^{3} 3 d x

\int_{1}^{3} 2 x^{2} d x = \frac{52}{3}

\int_{1}^{3} 3 d x = 6

= \frac{52}{3} + 6

Simplify

\frac{52}{3} + 6 : \frac{70}{3}

= \frac{70}{3}

Popular Examples

integral from 0 to 4 of (x-1)/(x^2+x-2)

\int_{0}^{4} \frac{x - 1}{x ^{2} + x - 2} d x

integral from 8 to infinity of 2x^{-3}

\int_{8}^{\infty} 2 x^{- 3} d x

integral from 1 to 2 of 1/(x+y)

\int_{1}^{2} \frac{1}{x + y} d x

integral from 1 to 2 of 1/x+y

\int_{1}^{2} \frac{1}{x} + y d x

integral from 8 to 10 of 0.5x^{-1.5}

\int_{8}^{10} 0.5 x^{- 1.5} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of 2x^2+3 ?
The integral from 1 to 3 of 2x^2+3 is 70/3