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Popular >

integral of (3x+2)

Solution

\int (3 x + 2) d x

Solution

\frac{3 x ^{2}}{2} + 2 x + C

Solution steps

\int 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 3 x d x + \int 2 d x

\int 3 x d x = \frac{3 x ^{2}}{2}

\int 2 d x = 2 x

= \frac{3 x ^{2}}{2} + 2 x

Add a constant to the solution

= \frac{3 x ^{2}}{2} + 2 x + C

Graph

Popular Examples

integral of-1e^x

\int - 1 e^{x} d x

integral of (x^3)/3+2x-5

\int \frac{x ^{3}}{3} + 2 x - 5 d x

limit as x approaches 3-of 2x^3

x \to 3 - lim (2 x^{3})

(\partial)/(\partial x)(sin(cx))

\frac{\partial}{\partial x} (sin (c x))

derivative of (x^3/3-5x^2+21x+1)

\frac{d}{d x} (\frac{x ^{3}}{3} - 5 x^{2} + 21 x + 1)

Frequently Asked Questions (FAQ)

What is the integral of (3x+2) ?
The integral of (3x+2) is (3x^2)/2+2x+C