You will have to use partial fractions for this one. Split up the fraction into two simpler fractions, of the form A / x + B / (4-x). The result will be easy to integrate.
The indefinite integral of (1/x^2)*dx is -1/x+C.
0.5
0.5
x/(x+1) = 1 - 1/(x + 1), so the antiderivative (or indefinite integral) is x + ln |x + 1| + C,
-(x-1)-1 or -1/(x-1)
3
ln |x|+C is the answer
arctan(x)
1 over 2 divided by 1 over 4 is 2.
1 over 2 divided by 1 over 18 is 9.
The 3s would cancel and it would become the integral of 1/x which is ln x.
1 anything divided by itself is 1 (A+)