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Popular >

integral from 1 to 2 of 3x^2+4x

Solution

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

Solution

13

Solution steps

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

\int_{1}^{2} 3 x^{2} d x = 7

\int_{1}^{2} 4 x d x = 6

= 7 + 6

Simplify

= 13

Graph

Popular Examples

integral from-1 to 1 of e^{3x^2}

\int_{- 1}^{1} e^{3 x^{2}} d x

integral from 0 to 2 of 1/2 (e^x+e^{-x})

\int_{0}^{2} \frac{1}{2} (e^{x} + e^{- x}) d x

integral from 0 to pi of 2xsin(2x^2)

\int_{0}^{π} 2 x sin (2 x^{2}) d x

integral from 0 to infinity of e^{tx-x}

\int_{0}^{\infty} e^{t x - x} d x

integral from 0 to 4 of te^{-0.3t}

\int_{0}^{4} t e^{- 0.3 t} d t

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of 3x^2+4x ?
The integral from 1 to 2 of 3x^2+4x is 13