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Popular >

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

Solution

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

Solution

- 20

Solution steps

\int_{- 3}^{1} 2 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_{- 3}^{1} 2 x d x - \int_{- 3}^{1} 3 d x

\int_{- 3}^{1} 2 x d x = - 8

\int_{- 3}^{1} 3 d x = 12

= - 8 - 12

Simplify

= - 20

Popular Examples

integral from 0 to 1 of (x^2)/(3+x^3)

\int_{0}^{1} \frac{x ^{2}}{3 + x ^{3}} d x

integral from x^2 to 4 of 3t

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

integral from 0 to 1 of x+sqrt(x)

\int_{0}^{1} x + x d x

integral from 0 to 2pi of cos^4(θ)

\int_{0}^{2 π} cos^{4} (θ) d θ

integral from 0 to pi/3 of 2sin(x/2)

\int_{0}^{\frac{π}{3}} 2 sin (\frac{x}{2}) d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 1 of (2x-3) ?
The integral from-3 to 1 of (2x-3) is -20