Question

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

Answer 1

Are you looking to take a derivative?

Answer 2

My guess would be the integral

Answer 3

please integrate them through u subs

Answer 4

OK, which one are u doing tbates?

Answer 5

the second one I have

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

thanx guys and number 3?

Answer 10

u= sqrtx
du = 1/(2sqrtx)

\[2 \int\limits{sinu du}\]