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Popular >

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

Solution

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

Solution

15

Solution steps

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

\int_{1}^{4} x^{2} d x = 21

\int_{1}^{4} 2 x d x = 15

\int_{1}^{4} 3 d x = 9

= 21 - 15 + 9

Simplify

= 15

Graph

Popular Examples

(dy)/(dx)=((y^2+3xy+x^2))/(x^2)

\frac{d y}{d x} = \frac{( y ^{2} + 3 x y + x ^{2} )}{x ^{2}}

derivative of sqrt((2-x^3))

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

integral of-1/(2x)

\int - \frac{1}{2 x} d x

limit as x approaches pi/3-of cot(3x)

x \to \frac{π}{3} - lim (cot (3 x))

tangent of f(x)=x^2-4,(3,5)tangent of

f (x) = x^{2} - 4, (3, 5)

Frequently Asked Questions (FAQ)

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