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Popular >

integral from 2 to 6 of (3+2x)

Solution

\int_{2}^{6} (3 + 2 x) d x

Solution

44

Solution steps

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

\int_{2}^{6} 3 d x = 12

\int_{2}^{6} 2 x d x = 32

= 12 + 32

Simplify

= 44

Popular Examples

integral from 0 to 4 of 1-e^{-2x}

\int_{0}^{4} 1 - e^{- 2 x} d x

integral from 1 to 12 of 4e^{0.1x}

\int_{1}^{12} 4 e^{0.1 x} d x

integral from 0 to x of sqrt(x^2-y^2)

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

integral from 6 to 9 of (x^2+x)

\int_{6}^{9} (x^{2} + x) d x

integral from 0 to 1 of x^3arctan(x)

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

Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of (3+2x) ?
The integral from 2 to 6 of (3+2x) is 44