Integral of (x+3)/2 dx
The solution
Detail solution
-
The integral of a constant times a function is the constant times the integral of the function:
∫2x+3dx=2∫(x+3)dx
-
Integrate term-by-term:
-
The integral of xn is n+1xn+1 when n=−1:
∫xdx=2x2
-
The integral of a constant is the constant times the variable of integration:
∫3dx=3x
The result is: 2x2+3x
So, the result is: 4x2+23x
-
Now simplify:
4x(x+6)
-
Add the constant of integration:
4x(x+6)+constant
The answer is:
4x(x+6)+constant
The answer (Indefinite)
[src]
/
| 2
| x + 3 x 3*x
| ----- dx = C + -- + ---
| 2 4 2
|
/
∫2x+3dx=C+4x2+23x
The graph
Use the examples entering the upper and lower limits of integration.