Question

Evaluate the indefinite integral.

Answer 1

\[\int\limits \frac{ dt }{ \cos ^{2}t \sqrt{1+\tan t}}\]

Answer 2

let u=1+tan(t)

Answer 3

in general, letting u=(what's under the radical) is often the way to go here

Answer 4

For an interesting variation, you could try \(u^{2} = 1+\tan(t)\) and see where that leads.

Answer 5

@Turing Test du=sec^(2) x dx

Answer 6

@TuringTest du=sec^(2) x dx

Answer 7

Write secant squared in terms of cosines, it might make more sense :o
Remember your identity?

Answer 8

do you mean 1/cos^2 x

Answer 9

yes

Answer 10

is the answer \[\sqrt{1+\tan(t)}+C\]