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Popular >

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

Solution

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

Solution

\frac{37}{6}

+1

Decimal Notation

6.16666 \dots

Solution steps

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

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

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

= \frac{14}{3} + \frac{3}{2}

Simplify

\frac{14}{3} + \frac{3}{2} : \frac{37}{6}

= \frac{37}{6}

Popular Examples

integral from 2 to 4 of (x^3-2)-ln(x+1)

\int_{2}^{4} (x^{3} - 2) - ln (x + 1) d x

integral from-2 to-1 of 1/(x^3)+(x^3)/4

\int_{- 2}^{- 1} \frac{1}{x ^{3}} + \frac{x ^{3}}{4} d x

integral from 3 to 4 of (2x-5)^4

\int_{3}^{4} (2 x - 5)^{4} d x

integral from 0 to 6 of sqrt(3x+7)

\int_{0}^{6} 3 x + 7 d x

integral from 0 to 1 of (p)

\int_{0}^{1} (p) d p

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of 2x^2+x ?
The integral from 1 to 2 of 2x^2+x is 37/6