Question

please help me out idk how to solve it

Answer 1

\[\int\limits_{}^{} \frac{ dx }{ \sqrt{x} ( \sqrt{x}+1)}\]

Answer 2

@wio

Answer 3

\[\int\limits_{}^{} \sec(t)^{2} \tan (\tan (t)) dt \]

Answer 4

@ganeshie8

Answer 5

@Zarkon @Loser66 @hero

Answer 6

Say \(u = \sqrt{x}\), then \(du = \frac{dx}{2\sqrt{x}}\)

Answer 7

substitute that in your integral,
\[\int \frac{2\space du}{u+1}\]

Answer 8

Easy now, uh?

Answer 9

For the second integral, call \(u = tan(t)\), then \(du = sec^2(t)dt\)

Answer 10

replacing...
\[\int tan(u)du\]

Answer 11

also easy, right?