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Popular >

integral from 1 to 3 of 6x^2-4x+5

Solution

\int_{1}^{3} 6 x^{2} - 4 x + 5 d x

Solution

46

Solution steps

\int_{1}^{3} 6 x^{2} - 4 x + 5 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} 6 x^{2} d x - \int_{1}^{3} 4 x d x + \int_{1}^{3} 5 d x

\int_{1}^{3} 6 x^{2} d x = 52

\int_{1}^{3} 4 x d x = 16

\int_{1}^{3} 5 d x = 10

= 52 - 16 + 10

Simplify

= 46

Graph

Popular Examples

integral from 1 to 3 of 3^{3x}

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

integral from-pi to 0 of pi/2 sin(nx)

\int_{- π}^{0} \frac{π}{2} sin (n x) d x

integral from 0 to 1 of 3x^2+2x+1

\int_{0}^{1} 3 x^{2} + 2 x + 1 d x

integral from 0 to pi/2 of sin(sqrt(2y))

\int_{0}^{\frac{π}{2}} sin (2 y) d y

integral from 1/3 to 3 of 6-6/(x^2)

\int_{\frac{1}{3}}^{3} 6 - \frac{6}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of 6x^2-4x+5 ?
The integral from 1 to 3 of 6x^2-4x+5 is 46