How do you integrate fractions?

I know how to integrate 1/x and other reciprocals, (definitely and indefinitely) but I'm little confused when you have the variable as the numerator eg. x/3 or x/7

1 Answer
Apr 13, 2018

When the variable is in the numerator you just use the power rule for integration. Note that

int x/5dx = int 1/5xdx = 1/5x^(1 + 1)/(1 + 1) + C = 1/10x^2 + C

Hopefully this helps!