/sci/ - Science & Math

[Anonymous No.1708676]

I am in dire need of help /sci/ I've had trouble in the past with this stuff and i still do! So please help!

Evaluate:
Integral: (x) / (sqrt(9+8x^2-x^4)) dx

-I was think with this one we could use the substitution method and tweek (8x^2 - x^4) But im drawing a blank.

and...

Find the equation of the tangent line to y=2arcsinx at (1/2 , pi/3)

-No idea what to make of this, i dont want this one solved just need a way to make heads and tails of it and a process to solve it.

I promise tits in return...

[Anonymous No.1708692]

fuckin' wolframalpha, how does it work?

[Anonymous No.1708713]

>Find the equation of the tangent line to y=2arcsinx at (1/2 , pi/3)
Take the derivative to find the slope (evaluate at <span class="math"> (\frac{1}{2},{\pi}{3})[/spoiler]).
Solve y = mx + b
(Hint: you have a point on that line already, plug it in & solve b)

[Anonymous No.1708848]

>>1708713
So to get the slope we'd take the derivative and plug in the point we're givin to the derivative?

right?

[Anonymous No.1708867]

or would the slope just be 2/(1+x^2) then?