Here's the question you clicked on:
eistein+newton+gallileo=_me
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
Are you looking to take a derivative?
My guess would be the integral
please integrate them through u subs
OK, which one are u doing tbates?
1. u = 1+e^x du = e^x dx so \[\int\limits{\sqrt{u}du}\]
2. u= x^2 du= 2xdx \[\frac{1}{2} \int\limits{tanu du}\]
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
thanx guys and number 3?
u= sqrtx du = 1/(2sqrtx) \[2 \int\limits{sinu du}\]