What is the integral from 0 to 20 of x^2-16x+70 ?

The integral from 0 to 20 of x^2-16x+70 is 2600/3

Popular >

integral from 0 to 20 of x^2-16x+70

\int_{0}^{20} x^{2} - 16 x + 70 d x

\frac{2600}{3}

Decimal Notation

866.66666 \dots

Solution steps

\int_{0}^{20} x^{2} - 16 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} 16 x d x + \int_{0}^{20} 70 d x

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

\int_{0}^{20} 16 x d x = 3200

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

= \frac{8000}{3} - 3200 + 1400

Simplify

\frac{8000}{3} - 3200 + 1400 : \frac{2600}{3}

= \frac{2600}{3}

\int_{x}^{0} cos (x^{2}) d x

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

\int_{0}^{1} 16 (2 + 4 x)^{3} d x

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

\int_{0}^{\frac{π}{4}} 6 sec (x) tan (x) d x

What is the integral from 0 to 20 of x^2-16x+70 ?
The integral from 0 to 20 of x^2-16x+70 is 2600/3