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Popular Calculus >

integral from-3 to 1 of (1+4x)

Solution

\int_{- 3}^{1} (1 + 4 x) d x

Solution

- 12

Solution steps

\int_{- 3}^{1} 1 + 4 x 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_{- 3}^{1} 1 d x + \int_{- 3}^{1} 4 x d x

\int_{- 3}^{1} 1 d x = 4

\int_{- 3}^{1} 4 x d x = - 16

= 4 - 16

Simplify

= - 12

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-3 to 1 of (1+4x) ?
The integral from-3 to 1 of (1+4x) is -12