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Popular >

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

Solution

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

Solution

36

Solution steps

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

\int_{- 3}^{3} 2 x d x = 0

\int_{- 3}^{3} 6 d x = 36

= 0 + 36

Simplify

= 36

Popular Examples

integral from-1 to 0 of 1/(sqrt(x^2-2x))

\int_{- 1}^{0} \frac{1}{x ^{2} - 2 x} d x

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

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

integral from 32 to 64 of (log_{2}(x))/x

\int_{32}^{64} \frac{lo g _{2} ( x )}{x} d x

integral from 0 to 2pi of s^2

\int_{0}^{2 π} s^{2} d s

integral from 5 to 10 of 2x^{-3}

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

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of (2x+6) ?
The integral from-3 to 3 of (2x+6) is 36