What is integral from-4 to 2 of f(x)+2x+5 ?

The answer to integral from-4 to 2 of f(x)+2x+5 is -6f+18

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integral from-4 to 2 of f(x)+2x+5

\int_{- 4}^{2} f (x) + 2 x + 5 d x

- 6 f + 18

Solution steps

\int_{- 4}^{2} f x + 2 x + 5 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_{- 4}^{2} 5 d x + \int_{- 4}^{2} 2 x d x + \int_{- 4}^{2} f x d x

\int_{- 4}^{2} 5 d x = 30

\int_{- 4}^{2} 2 x d x = - 12

\int_{- 4}^{2} f x d x = - 6 f

= 30 - 12 - 6 f

Simplify

= - 6 f + 18

\frac{1}{2} cos (2 t)

\int \frac{1}{u a ^{2} - u ^{2}} d u

\frac{\partial}{\partial z} (cos (x yz))

\frac{d y}{d t} = 1.4 y

\int \frac{1}{- x ^{2} - 1} d x

What is integral from-4 to 2 of f(x)+2x+5 ?
The answer to integral from-4 to 2 of f(x)+2x+5 is -6f+18