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Popular >

integral of 2+3x

Solution

\int 2 + 3 x d x

Solution

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

Solution steps

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

\int 2 d x = 2 x

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 2x^2+3x

\int 2 x^{2} + 3 x d x

integral of x^3-1/x

\int x^{3} - \frac{1}{x} d x

integral of 9^{32+1}6

\int 9^{3 d^{2} + 1} 6 dddd

integral of 5/((1-x)^2)

\int \frac{5}{( 1 - x ) ^{2}} d x

integral of (cos(x))/((sqrt(3+sin(x))))

\int \frac{cos ( x )}{( 3 + sin ( x ) )} d x

Frequently Asked Questions (FAQ)

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