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Popular >

integral from-4 to 4 of (x/2+1)

Solution

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

Solution

8

Solution steps

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

\int_{- 4}^{4} \frac{x}{2} d x = 0

\int_{- 4}^{4} 1 d x = 8

= 0 + 8

Simplify

= 8

Graph

Popular Examples

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\int_{0}^{3} 3 t - 7 d t

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\int_{0}^{π} cos (n) x d x

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

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\int_{0}^{2 π} - 4 d t

integral from-1 to 1 of e^x-e^{-x}

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

Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of (x/2+1) ?
The integral from-4 to 4 of (x/2+1) is 8