Take the integral:
integral (3 x^2-2/x+1337) dx
Integrate the sum term by term and factor out constants:
= 3 integral x^2 dx-2 integral 1/x dx+1337 integral 1 dx
The integral of x^2 is x^3/3:
= x^3-2 integral 1/x dx+1337 integral 1 dx
The integral of 1/x is log(x):
= x^3-2 log(x)+1337 integral 1 dx
The integral of 1 is x:
Answer: | = x^3+1337 x-2 log(x)+constant
Take the integral:
integral (3 x^2-2/x+1337) dx
Integrate the sum term by term and factor out constants:
= 3 integral x^2 dx-2 integral 1/x dx+1337 integral 1 dx
The integral of x^2 is x^3/3:
= x^3-2 integral 1/x dx+1337 integral 1 dx
The integral of 1/x is log(x):
= x^3-2 log(x)+1337 integral 1 dx
The integral of 1 is x:
Answer: | = x^3+1337 x-2 log(x)+constant
