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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 2pi of t

\int_{0}^{2 π} t d t

integral from-pi/2 to pi/2 of (cos(x)-4)

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

integral from 1 to 2 of 1/(x^5+x^3)

\int_{1}^{2} \frac{1}{x ^{5} + x ^{3}} d x

integral from pi/3 to x of sec^2(t)

\int_{\frac{π}{3}}^{x} sec^{2} (t) d t

integral from 0 to infinity of x^6e^{-x}

\int_{0}^{\infty} x^{6} e^{- 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