What is the integral from-2 to 1 of (12x^5-36) ?

The integral from-2 to 1 of (12x^5-36) is -234

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integral from-2 to 1 of (12x^5-36)

\int_{- 2}^{1} (12 x^{5} - 36) d x

- 234

Solution steps

\int_{- 2}^{1} 12 x^{5} - 36 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_{- 2}^{1} 12 x^{5} d x - \int_{- 2}^{1} 36 d x

\int_{- 2}^{1} 12 x^{5} d x = - 126

\int_{- 2}^{1} 36 d x = 108

= - 126 - 108

Simplify

= - 234

x^{2} y^{^{''}} + x y^{^{'}} - y = 0, y (1) = 1, y^{^{'}} (1) = 4

\int \frac{10}{( x + 1 ) ( x ^{2} + 9 )} d x

(e^{- x} - e^{2}) (e^{x} + e^{- 5})

(2, 0), (32, - 5)

\int 27 sec^{4} (x) d x

What is the integral from-2 to 1 of (12x^5-36) ?
The integral from-2 to 1 of (12x^5-36) is -234