What is the integral from 3 to 6 of 10^8((x^2)/3+1) ?

The integral from 3 to 6 of 10^8((x^2)/3+1) is 2400000000

Popular >

integral from 3 to 6 of 10^8((x^2)/3+1)

\int_{3}^{6} 1 0^{8} (\frac{x ^{2}}{3} + 1) d x

2400000000

Solution steps

\int_{3}^{6} 1 0^{8} (\frac{x ^{2}}{3} + 1) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 1 0^{8} \cdot \int_{3}^{6} \frac{x ^{2}}{3} + 1 d x

Simplify

= 100000000 \cdot \int_{3}^{6} \frac{x ^{2}}{3} + 1 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

= 100000000 (\int_{3}^{6} \frac{x ^{2}}{3} d x + \int_{3}^{6} 1 d x)

\int_{3}^{6} \frac{x ^{2}}{3} d x = 21

\int_{3}^{6} 1 d x = 3

= 100000000 (21 + 3)

Simplify

= 2400000000

\int_{0}^{4} (4 x + 1) d x

\int_{- 2}^{\frac{i}{2}} (z^{2} + 1) d z

\int_{0}^{2} sin (a x) d x

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

\int_{0}^{2} 2 y - y^{2} + 4 d y

What is the integral from 3 to 6 of 10^8((x^2)/3+1) ?
The integral from 3 to 6 of 10^8((x^2)/3+1) is 2400000000