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Popular Calculus >

integral from 2 to 3 of (-16x+2)

Solution

\int_{2}^{3} (- 16 x + 2) d x

Solution

- 38

Solution steps

\int_{2}^{3} - 16 x + 2 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_{2}^{3} 16 x d x + \int_{2}^{3} 2 d x

\int_{2}^{3} 16 x d x = 40

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

= - 40 + 2

Simplify

= - 38

Graph

Popular Examples

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\int_{\frac{π}{2}}^{2 π} 2 sin (x) d x

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\int_{0}^{1} π (- x^{2} + 1)^{2} d x

integral from-1 to 1 of x^1

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

integral from 0 to 1 of x/4

\int_{0}^{1} \frac{x}{4} d x

integral from-1 to 1 of (e^{2x})

\int_{- 1}^{1} (e^{2 x}) d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of (-16x+2) ?
The integral from 2 to 3 of (-16x+2) is -38