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Popular >

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

Solution

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

Solution

\frac{15}{2}

+1

Decimal Notation

7.5

Solution steps

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

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

\int_{- 2}^{1} 4 d x = 12

= - \frac{9}{2} + 12

Simplify

- \frac{9}{2} + 12 : \frac{15}{2}

= \frac{15}{2}

Popular Examples

integral from-1 to 1 of-x^3

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

integral from-pi/4 to-pi/6 of cos(x)

\int_{- \frac{π}{4}}^{- \frac{π}{6}} cos (x) d x

integral from 2 to 4 of (x^2-4)^{3/2}

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

integral from 0 to t^4 of sqrt(u)

\int_{0}^{t^{4}} u d u

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

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

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of (3x+4) ?
The integral from-2 to 1 of (3x+4) is 15/2