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Popular Calculus >

integral from 1 to 2 of (3x-5x+1)

Solution

\int_{1}^{2} (3 x - 5 x + 1) d x

Solution

- 2

Solution steps

\int_{1}^{2} 3 x - 5 x + 1 d x

Simplify

= \int_{1}^{2} - 2 x + 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_{1}^{2} 2 x d x + \int_{1}^{2} 1 d x

\int_{1}^{2} 2 x d x = 3

\int_{1}^{2} 1 d x = 1

= - 3 + 1

Simplify

= - 2

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (3x-5x+1) ?
The integral from 1 to 2 of (3x-5x+1) is -2