What is the integral from 0 to 20 of x^2-14x+70 ?

The integral from 0 to 20 of x^2-14x+70 is 3800/3

Popular >

integral from 0 to 20 of x^2-14x+70

\int_{0}^{20} x^{2} - 14 x + 70 d x

\frac{3800}{3}

Decimal

1266.66666 \dots

Solution steps

\int_{0}^{20} x^{2} - 14 x + 70 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_{0}^{20} x^{2} d x - \int_{0}^{20} 14 x d x + \int_{0}^{20} 70 d x

\int_{0}^{20} x^{2} d x = \frac{8000}{3}

\int_{0}^{20} 14 x d x = 2800

\int_{0}^{20} 70 d x = 1400

= \frac{8000}{3} - 2800 + 1400

Simplify

\frac{8000}{3} - 2800 + 1400 : \frac{3800}{3}

= \frac{3800}{3}

\int_{0}^{2} 4 e^{x} d x

\int_{∣ y ∣}^{1} (x + y)^{2} d x

\int_{2}^{6} \frac{4}{x} - \frac{8}{x ^{2}} d x

\int_{0}^{2 π} 1 + sin^{2} (x) d x

\int_{1}^{e} \frac{( 3 + ln ( x ) ) ^{4}}{x} d x

What is the integral from 0 to 20 of x^2-14x+70 ?
The integral from 0 to 20 of x^2-14x+70 is 3800/3