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Popular >

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

Solution

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

Solution

\frac{50}{3}

+1

Solution steps

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

\int_{1}^{3} x^{2} d x = \frac{26}{3}

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

\int_{1}^{3} 6 d x = 12

= \frac{26}{3} - 4 + 12

Simplify

\frac{26}{3} - 4 + 12 : \frac{50}{3}

= \frac{50}{3}

Popular Examples

integral from 1 to 4 of (3x+sqrt(x))

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

integral from 0 to 4 of (6x+sqrt(x))

\int_{0}^{4} (6 x + x) d x

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

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

integral from 1 to 3 of 4/x

\int_{1}^{3} \frac{4}{x} d x

integral from 1 to 2 of (10-5x)/(x^3)

\int_{1}^{2} \frac{10 - 5 x}{x ^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^2-x+6 ?
The integral from 1 to 3 of x^2-x+6 is 50/3