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Popular >

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

Solution

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

Solution

12

Solution steps

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

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

\int_{- 4}^{2} 4 d x = 24

= - 12 + 24

Simplify

= 12

Popular Examples

integral from 2 to 8 of x^3

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

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

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

integral from 1 to 3 of (x^2-4x+6)

\int_{1}^{3} (x^{2} - 4 x + 6) d x

integral from 0 to 10 of (t^2)/2+4t+5

\int_{0}^{10} \frac{t ^{2}}{2} + 4 t + 5 d t

integral from 0 to 3 of xsqrt(x^2+4)

\int_{0}^{3} x x^{2} + 4 d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 2 of (2x+4) ?
The integral from-4 to 2 of (2x+4) is 12