please help me solve these using u substitution ( please show the workings) 1. e^x(root(1+e^x))
2.xtan(x^2)
3 sin(rootx)/rootx

Question

anonymous · Answer

Are you looking to take a derivative?

anonymous · Answer

My guess would be the integral

anonymous · Answer

please integrate them through u subs

anonymous · Answer

OK, which one are u doing tbates?

anonymous · Answer

the second one I have

lalaly · Answer

1. u = 1+e^x
du = e^x dx
so
$$\int\limits{\sqrt{u}du}$$

lalaly · Answer

2. u= x^2
du= 2xdx
$$\frac{1}{2} \int\limits{tanu du}$$

anonymous · Answer

On the second one set u=x^2 
du = 2x dx
du/2=2xdx
Sub in:
tan(u)/2 du
The integral of tan(u)/2
-(1/2)ln|cos u| + C
Plug back in for x
-(1/2)ln|cos x^2| + C

anonymous · Answer

thanx guys and number 3?

lalaly · Answer

u= sqrtx
du = 1/(2sqrtx)

$$2 \int\limits{sinu du}$$