�ç(3x+2) dx

To integrate the expression ∫(3x+2) dx, we can use the power rule of integration. The power rule states that for any term of the form ax^n, where a and n are constants, the integral is given by (a/(n+1))x^(n+1) + C, where C is the constant of integration.

Now let's apply the power rule to the expression ∫(3x+2) dx:

∫(3x+2) dx = ∫3x dx + ∫2 dx

For the first term, ∫3x dx, we can use the power rule with a = 3 and n = 1:

(3/(1+1))x^(1+1) = (3/2)x^2 + C1

For the second term, ∫2 dx, we can directly integrate a constant term:

2x + C2

Combining the two results, we get:

∫(3x+2) dx = (3/2)x^2 + 2x + C

So, the integral of (3x+2) dx is equal to (3/2)x^2 + 2x + C, where C is the constant of integration.