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Popular >

integral from-1 to 2 of (x-4x+3)

Solution

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

Solution

\frac{9}{2}

+1

Decimal

4.5

Solution steps

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

Simplify

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

\int_{- 1}^{2} 3 x d x = \frac{9}{2}

\int_{- 1}^{2} 3 d x = 9

= - \frac{9}{2} + 9

Simplify

- \frac{9}{2} + 9 : \frac{9}{2}

= \frac{9}{2}

Graph

Popular Examples

integral from 0 to 1 of (10x-1)^3

\int_{0}^{1} (10 x - 1)^{3} d x

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

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

integral from-1 to 3 of (4x^2-3x-2)^2

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

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

\int_{- 2}^{0} \frac{1}{x ^{2}} d x

integral from 0 to 2pi of (-sin^2(t))

\int_{0}^{2 π} (- sin^{2} (t)) d t

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of (x-4x+3) ?
The integral from-1 to 2 of (x-4x+3) is 9/2