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Popular >

integral from 1 to 3 of (1+2y)

Solution

\int_{1}^{3} (1 + 2 y) d y

Solution

10

Solution steps

\int_{1}^{3} 1 + 2 y d y

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} 1 d y + \int_{1}^{3} 2 y d y

\int_{1}^{3} 1 d y = 2

\int_{1}^{3} 2 y d y = 8

= 2 + 8

Simplify

= 10

Popular Examples

integral from 0 to 4 of (36)/(x^2+9)

\int_{0}^{4} \frac{36}{x ^{2} + 9} d x

integral from 0 to pi of 1/(4x^2-4x+5)

\int_{0}^{π} \frac{1}{4 x ^{2} - 4 x + 5} d x

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

\int_{- 4}^{4} \frac{1}{1 + x ^{2}} d x

integral from 1 to 3 of 2/(5+3x)

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

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

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (1+2y) ?
The integral from 1 to 3 of (1+2y) is 10