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Popular >

integral from-6 to 6 of 3x-4

Solution

\int_{- 6}^{6} 3 x - 4 d x

Solution

- 48

Solution steps

\int_{- 6}^{6} 3 x - 4 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_{- 6}^{6} 3 x d x - \int_{- 6}^{6} 4 d x

\int_{- 6}^{6} 3 x d x = 0

\int_{- 6}^{6} 4 d x = 48

= 0 - 48

Simplify

= - 48

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\int x (1 + \frac{1}{x})^{3} d x

limit as x approaches+1 of ln(3)+e^x

x \to + 1 lim (ln (3) + e^{x})

Frequently Asked Questions (FAQ)

What is the integral from-6 to 6 of 3x-4 ?
The integral from-6 to 6 of 3x-4 is -48