Question

Integrate sqrt(x)*e^sqrt(x)dx...

Answer 1

\[\int\limits_{}^{}\sqrt(x)e^{\sqrt(x)}\]

Answer 2

u substitution

Answer 3

and then parts

Answer 4

do u knoow formula for parts?

Answer 5

you should get e^u(u-1) where u = sqrtx

Answer 6

the fomula for parts comes from Product rule
d/dx UV = V dU/dx + U dV/dx
integrate both sides
\[UV = \int\limits_{?}^{?} V du/dx + \int\limits_{?}^{?} U dV/dx\]
\int\limits_{?}^{?} U dV/dx\] = UV - \int\limits_{?}^{?} V du/dx
thats how you get
the formula \int\limits_{?}^{?} UdV = UV - \int\limits_{?}^{?} V dU

Answer 7

thats how you get the formula
Integral U dV = UV - Integral VDu

Answer 8

you should just look up parts integration if u forgot it looks a lot clearer if you just see from a text book