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Popular >

integral from 2 to 5 of-3x+4

Solution

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

Solution

- \frac{39}{2}

+1

Decimal

- 19.5

Solution steps

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

\int_{2}^{5} 3 x d x = \frac{63}{2}

\int_{2}^{5} 4 d x = 12

= - \frac{63}{2} + 12

Simplify

- \frac{63}{2} + 12 : - \frac{39}{2}

= - \frac{39}{2}

Graph

Popular Examples

integral from 0 to 1 of y^2y

\int_{0}^{1} y^{2} y d y

integral from-1 to 2 of 3x^2-2x

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

integral from 0 to pi/8 of sin^3(8x)

\int_{0}^{\frac{π}{8}} sin^{3} (8 x) d x

integral from-infinity to 2 of x^2

\int_{- \infty}^{2} x^{2} d x

integral from-4 to 3 of x

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

Frequently Asked Questions (FAQ)

What is the integral from 2 to 5 of-3x+4 ?
The integral from 2 to 5 of-3x+4 is -39/2