The integral is,
y= ∫ ( 4 e 3x +1 ) dx
Here, y is the solution of integral.
Use the formula of ∫ e x dx = e x +A, where A is constant.
= ∫ ( 4 e 3x +1 ) dx = ∫ ( 4 e 3x +1 ) dx =4 ∫ e 3x dx+ ∫ dx = 4 e 3x 3 +x+A
Thus, the solution of integral is 4 e 3x 3 +x+A.