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Popular >

integral from 2 to 6 of x^2+1

Solution

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

Solution

\frac{220}{3}

+1

Decimal Notation

73.33333 \dots

Solution steps

\int_{2}^{6} x^{2} + 1 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_{2}^{6} x^{2} d x + \int_{2}^{6} 1 d x

\int_{2}^{6} x^{2} d x = \frac{208}{3}

\int_{2}^{6} 1 d x = 4

= \frac{208}{3} + 4

Simplify

\frac{208}{3} + 4 : \frac{220}{3}

= \frac{220}{3}

Popular Examples

derivative of-1/x-1/(x^2)+1/(x^3)derivative of

- \frac{1}{x} - \frac{1}{x ^{2}} + \frac{1}{x ^{3}}

inverse oflaplace (s+1)/(s(s+2)(s+4))inverse laplace

\frac{s + 1}{s ( s + 2 ) ( s + 4 )}

inverse oflaplace 1/(s^2(s-3)^2)inverse laplace

\frac{1}{s ^{2} ( s - 3 ) ^{2}}

integral of 1/(t-2)

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

integral of (3x^3)/(sqrt(4-x^2))

\int \frac{3 x ^{3}}{4 - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of x^2+1 ?
The integral from 2 to 6 of x^2+1 is 220/3