What is the integral from 5 to 6 of x^2+x+1-15 ?

The integral from 5 to 6 of x^2+x+1-15 is 131/6

Popular >

integral from 5 to 6 of x^2+x+1-15

\int_{5}^{6} x^{2} + x + 1 - 15 d x

\frac{131}{6}

Decimal

21.83333 \dots

Solution steps

\int_{5}^{6} x^{2} + x + 1 - 15 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_{5}^{6} x^{2} d x + \int_{5}^{6} x d x + \int_{5}^{6} 1 d x - \int_{5}^{6} 15 d x

\int_{5}^{6} x^{2} d x = \frac{91}{3}

\int_{5}^{6} x d x = \frac{11}{2}

\int_{5}^{6} 1 d x = 1

\int_{5}^{6} 15 d x = 15

= \frac{91}{3} + \frac{11}{2} + 1 - 15

Simplify

\frac{91}{3} + \frac{11}{2} + 1 - 15 : \frac{131}{6}

= \frac{131}{6}

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

\int_{- x}^{x} e^{- t} d t

\int_{- 3}^{2} x + ∣ x ∣ d x

\int_{0}^{3} 5 x + 1 d x

\int_{0}^{\frac{π}{4}} \frac{1}{1 + cos ( 2 x )} d x

What is the integral from 5 to 6 of x^2+x+1-15 ?
The integral from 5 to 6 of x^2+x+1-15 is 131/6