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Popular >

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

Solution

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

Solution

\frac{23}{3}

+1

Decimal

7.66666 \dots

Solution steps

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

\int_{1}^{2} 2 x^{2} d x = \frac{14}{3}

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

= \frac{14}{3} + 3

Simplify

\frac{14}{3} + 3 : \frac{23}{3}

= \frac{23}{3}

Graph

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\int_{4}^{7} 3 + 2 ln (x + 5) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (2x^2+3) ?
The integral from 1 to 2 of (2x^2+3) is 23/3