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Popular >

integral of x^2-7x+4

Solution

\int x^{2} - 7 x + 4 d x

Solution

\frac{x ^{3}}{3} - \frac{7 x ^{2}}{2} + 4 x + C

Solution steps

\int x^{2} - 7 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 x^{2} d x - \int 7 x d x + \int 4 d x

\int x^{2} d x = \frac{x ^{3}}{3}

\int 7 x d x = \frac{7 x ^{2}}{2}

\int 4 d x = 4 x

= \frac{x ^{3}}{3} - \frac{7 x ^{2}}{2} + 4 x

Add a constant to the solution

= \frac{x ^{3}}{3} - \frac{7 x ^{2}}{2} + 4 x + C

Graph

Popular Examples

integral of (sec(x/(24)))^2tan(x/(24))

\int (sec (\frac{x}{24}))^{2} tan (\frac{x}{24}) d x

limit as x approaches-infinity of e

x \to - \infty lim (e)

(x^2+49)(dy)/(dx)=1,y(7)=0

(x^{2} + 49) \frac{d y}{d x} = 1, y (7) = 0

integral of (x+8)/(x(x+6))

\int \frac{x + 8}{x ( x + 6 )} d x

limit as h approaches 0 of (sinh(x))/h

h \to 0 lim (\frac{sinh ( x )}{h})

Frequently Asked Questions (FAQ)

What is the integral of x^2-7x+4 ?
The integral of x^2-7x+4 is (x^3)/3-(7x^2)/2+4x+C