What is the integral from-7 to 7 of (4+x+x^2+x^3) ?

The integral from-7 to 7 of (4+x+x^2+x^3) is 854/3

Popular >

integral from-7 to 7 of (4+x+x^2+x^3)

\int_{- 7}^{7} (4 + x + x^{2} + x^{3}) d x

\frac{854}{3}

Decimal

284.66666 \dots

Solution steps

\int_{- 7}^{7} 4 + x + x^{2} + x^{3} 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_{- 7}^{7} 4 d x + \int_{- 7}^{7} x d x + \int_{- 7}^{7} x^{2} d x + \int_{- 7}^{7} x^{3} d x

\int_{- 7}^{7} 4 d x = 56

\int_{- 7}^{7} x d x = 0

\int_{- 7}^{7} x^{2} d x = \frac{686}{3}

\int_{- 7}^{7} x^{3} d x = 0

= 56 + 0 + \frac{686}{3} + 0

Simplify

56 + 0 + \frac{686}{3} + 0 : \frac{854}{3}

= \frac{854}{3}

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

\int_{1}^{3} (\frac{x ^{2} + 5}{x}) d x

\int_{- 5}^{5} ∣ x + 3 ∣ d x

\int_{- 10}^{8} 80 - 2 x - x^{2} d x

\int_{8}^{12} ln (\frac{x}{2} - 3) d x

What is the integral from-7 to 7 of (4+x+x^2+x^3) ?
The integral from-7 to 7 of (4+x+x^2+x^3) is 854/3