How do I solve tricky integration questions for my upcoming exam?

[avleen]

Hi, I am studying for my integral exam in 2 weeks,andim trying really hard to understand a few calc questions which i really can't get how to solve,
e.g
(ALL these questions are integrations questions)
1)ln^n(x)
i tried to put 1.ln^n (X) but i can't seem to get the answer right
^^^^ this is a derivation

2) same with tan^n (x)

i don't know how to integrate sec^(any even or odd power) x

x/(a+bx )1/2. how is this equal to 2/3b^2(bx-2a)(a+bx)^1/2
how do i derive tan^n(x)


Sinx/sin(x+alpha)

PLEASE help

 

[tiny-tim]

welcome to pf!

hi avleen! welcome to pf!

(have a square-root: √ and try using the X² icon just above the Reply box )

let's start with tanⁿx, = (tanx)ⁿ …

you need to use the https://www.physicsforums.com/library.php?do=view_item&itemid=353" …

you know how to differentiate xⁿ, so to differentiate (tanx)ⁿ you put tanx = u …

ok, now you try it, and we'll see where you're going wrong ​

x/(a+bx )1/2. how is this equal to 2/3b^2(bx-2a)(a+bx)^1/2

are you sure? that doesn't look right