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Popular >

integral from 0 to 2 of 3x+1

Solution

\int_{0}^{2} 3 x + 1 d x

Solution

8

Solution steps

\int_{0}^{2} 3 x + 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_{0}^{2} 3 x d x + \int_{0}^{2} 1 d x

\int_{0}^{2} 3 x d x = 6

\int_{0}^{2} 1 d x = 2

= 6 + 2

Simplify

= 8

Popular Examples

integral from-3 to-1 of (t+1)/(t^3)

\int_{- 3}^{- 1} \frac{t + 1}{t ^{3}} d t

integral from 0 to 4 of 6x^3

\int_{0}^{4} 6 x^{3} d x

integral from 1 to e of 1/(xln^2(x))

\int_{1}^{e} \frac{1}{x ln ^{2} ( x )} d x

integral from 0 to 1 of xln^2(x)

\int_{0}^{1} x ln^{2} (x) d x

integral from 0 to pi/2 of (2-sin(θ))^2

\int_{0}^{\frac{π}{2}} (2 - sin (θ))^{2} d θ

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 3x+1 ?
The integral from 0 to 2 of 3x+1 is 8