Question

Evaluate the integral.

Answer 1

\[u = \sqrt{1+e^x}, u^2 = 1 + e^x, 2udu = e^xdx\]
Not sure how to set the equation into u-mode from here.

Answer 2

Looks you have flipped the signs

Answer 3

\[\int\limits_{}^{}(\sqrt{1+e^x})dx\]
Opps, didn't post the correct version @ganeshie8

Answer 4

u^2 = 1 + e^x

Answer 5

subtract 1 both sides

Answer 6

that gives you an expression for e^x in terms of u only

Answer 7

which you can substitute in dx