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Popular >

integral from 3 to 5 of x^2+x-5

Solution

\int_{3}^{5} x^{2} + x - 5 d x

Solution

\frac{92}{3}

+1

Decimal

30.66666 \dots

Solution steps

\int_{3}^{5} x^{2} + 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_{3}^{5} x^{2} d x + \int_{3}^{5} x d x - \int_{3}^{5} 5 d x

\int_{3}^{5} x^{2} d x = \frac{98}{3}

\int_{3}^{5} x d x = 8

\int_{3}^{5} 5 d x = 10

= \frac{98}{3} + 8 - 10

Simplify

\frac{98}{3} + 8 - 10 : \frac{92}{3}

= \frac{92}{3}

Graph

Popular Examples

integral from 0 to 1 of 12xln(3x)

\int_{0}^{1} 12 x ln (3 x) d x

integral from 0 to 2 of sqrt(16-2x)

\int_{0}^{2} 16 - 2 x d x

integral from-1 to 1 of ln(x+2)

\int_{- 1}^{1} ln (x + 2) d x

integral from 0 to pi/2 of 1/(cos^2(x))

\int_{0}^{\frac{π}{2}} \frac{1}{cos ^{2} ( x )} d x

integral from 0 to pi/4 of cos(sqrt(x))

\int_{0}^{\frac{π}{4}} cos (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 3 to 5 of x^2+x-5 ?
The integral from 3 to 5 of x^2+x-5 is 92/3