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Popular >

integral from 3 to 1 of (-5x+9)

Solution

\int_{3}^{1} (- 5 x + 9) d x

Solution

2

Solution steps

\int_{3}^{1} - 5 x + 9 d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{1}^{3} - 5 x + 9 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}^{3} 5 x d x + \int_{1}^{3} 9 d x)

\int_{1}^{3} 5 x d x = 20

\int_{1}^{3} 9 d x = 18

= - (- 20 + 18)

Simplify

= 2

Popular Examples

integral of 1/((x^2+5)^{3/2)}

\int \frac{1}{( x ^{2} + 5 ) ^{\frac{3}{2}}} d x

(\partial)/(\partial x)(cos(nx)e^{ny})

\frac{\partial}{\partial x} (cos (n x) e^{n y})

integral of (arctan(5x))/(1+25x^2)

\int \frac{arctan ( 5 x )}{1 + 25 x ^{2}} d x

derivative of f(x)=(x^4+5x^2+10)/(x^2)derivative of

f (x) = \frac{x ^{4} + 5 x ^{2} + 10}{x ^{2}}

integral of e^x-e^{-x}

\int e^{x} - e^{- x} d x

Frequently Asked Questions (FAQ)

What is the integral from 3 to 1 of (-5x+9) ?
The integral from 3 to 1 of (-5x+9) is 2