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Popular >

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

Solution

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

Solution

\frac{13}{2}

+1

Solution steps

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

\int_{1}^{2} 3 x d x = \frac{9}{2}

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

= \frac{9}{2} + 2

Simplify

\frac{9}{2} + 2 : \frac{13}{2}

= \frac{13}{2}

Popular Examples

integral from 0 to 2 of sqrt(t)(2t-2)

\int_{0}^{2} t (2 t - 2) d t

integral from-2 to 1 of x-4|x|

\int_{- 2}^{1} x - 4 ∣ x ∣ d x

integral from-1 to 1 of 4x^2

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

integral from-6 to 6 of (t^3-36t)(-20t)

\int_{- 6}^{6} (t^{3} - 36 t) (- 20 t) d t

integral from 0 to 2pi of sqrt(θ^2+1)

\int_{0}^{2 π} θ^{2} + 1 d θ

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (3x+2) ?
The integral from 1 to 2 of (3x+2) is 13/2