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Popular Calculus >

integral from 0 to 7 of x^2-6x+5

Solution

\int_{0}^{7} x^{2} - 6 x + 5 d x

Solution

\frac{7}{3}

+1

Decimal

2.33333 \dots

Solution steps

\int_{0}^{7} x^{2} - 6 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_{0}^{7} x^{2} d x - \int_{0}^{7} 6 x d x + \int_{0}^{7} 5 d x

\int_{0}^{7} x^{2} d x = \frac{343}{3}

\int_{0}^{7} 6 x d x = 147

\int_{0}^{7} 5 d x = 35

= \frac{343}{3} - 147 + 35

Simplify

\frac{343}{3} - 147 + 35 : \frac{7}{3}

= \frac{7}{3}

Graph

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\int_{0}^{2 c o s (θ)} r d r

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\int_{1}^{e^{2}} \frac{1}{2 x} d x

integral from-1 to 4 of (2x^4+2x^3-x-7)

\int_{- 1}^{4} (2 x^{4} + 2 x^{3} - x - 7) d x

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

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

integral from 0 to 2 of 2pix(6e^{-x^2})

\int_{0}^{2} 2 π x (6 e^{- x^{2}}) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 7 of x^2-6x+5 ?
The integral from 0 to 7 of x^2-6x+5 is 7/3