Question

alriiight, not sure on how to answer this:

Evaluate the integral:
∫[(e^(4√(z)))/(√(z)),z]

image of question:
http://www.mathway.com/math_image.aspx?p=SMB02ASMB03integral,SMB02FSMB03eSMB02ESMB034SMB02RSMB03zSMB02rSMB03SMB02eSMB03SMB10SMB02RSMB03zSMB02rSMB03SMB02fSMB03,zSMB02aSMB03?p=71?p=44

Answer 1

do substitution: u=sq root (z)
so, du=1/2 * 1/sq.rt (z)
it's become easy integral (2*e^4u)du
finish it

Answer 2

You can treat the denominator as z^-1/2 and use the product rule
\[[f \prime (x) g(x) + g \prime(x) f(x)]\]
or just use the quotient rule. The derivative of e^u is
\[u \prime e ^{u}\]

Answer 3

2*integral(e^4u)du = 2* 1/4 *e^4u = 1/2* e^sw.rt(z)