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Popular >

integral of 3+2x

Solution

\int 3 + 2 x d x

Solution

3 x + x^{2} + C

Solution steps

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

\int 3 d x = 3 x

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

= 3 x + x^{2}

Add a constant to the solution

= 3 x + x^{2} + C

Popular Examples

integral of (6x-9)/(x^2-3x+5)

\int \frac{6 x - 9}{x ^{2} - 3 x + 5} d x

integral of-2x^4e^{6x^5}

\int - 2 x^{4} e^{6 x^{5}} d x

integral of (x*e^{arcsin(x)})/(sqrt(1-x^2))

\int \frac{x \cdot e ^{a r c s i n (x)}}{1 - x ^{2}} d x

integral of 1/x-3/(16x^2+1)

\int \frac{1}{x} - \frac{3}{16 x ^{2} + 1} d x

integral of e^{2x}e^{e^{2x}}

\int e^{2 x} e^{e^{2 x}} d x

Frequently Asked Questions (FAQ)

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