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Popular Calculus >

integral from-2 to 3 of (4x-3)

Solution

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

Solution

- 5

Solution steps

\int_{- 2}^{3} 4 x - 3 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} 4 x d x - \int_{- 2}^{3} 3 d x

\int_{- 2}^{3} 4 x d x = 10

\int_{- 2}^{3} 3 d x = 15

= 10 - 15

Simplify

= - 5

Graph

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\int_{0}^{4} (2 x - x) d x

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\int_{- 1}^{3} (5 x^{4} + 3 x^{2}) d x

integral from-pi to pi of (x+pi)sin(nx)

\int_{- π}^{π} (x + π) sin (n x) d x

integral from 0 to infinity of ce^{-x}

\int_{0}^{\infty} c e^{- x} d x

integral from 0 to 25 of 1/(sqrt(x))

\int_{0}^{25} \frac{1}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of (4x-3) ?
The integral from-2 to 3 of (4x-3) is -5