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Popular >

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

Solution

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

Solution

18

Solution steps

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

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

\int_{- 2}^{1} 4 d x = 12

= 6 + 12

Simplify

= 18

Popular Examples

integral from 0 to 4 of x^2-4x+9

\int_{0}^{4} x^{2} - 4 x + 9 d x

integral from 1 to x^2 of 1/(1+ln(t))

\int_{1}^{x^{2}} \frac{1}{1 + ln ( t )} d t

integral from 0 to 1 of 1-2x

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

integral from-pi to 0 of x*sin(nx)

\int_{- π}^{0} x \cdot sin (n x) d x

integral from 1 to x of sqrt(cos(t)-1)

\int_{1}^{x} cos (t) - 1 d t

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of (2x^2+4) ?
The integral from-2 to 1 of (2x^2+4) is 18