Hyperbolic Trig Integral

[cobalt plaza]

Did I do something wrong?. I feel like I didn't get the right answer

[cobalt plaza]

Ignore some stuff I left out. I tend to forget writing dx and stuff

[dense oyster]

Yeah

There is a mistake

Integral of Cosec^-1(x) is

-1/xroot(x²-1)

Not -1/xroot (x²+1)

[cobalt plaza]

This is hyperbolic trigonometry

[dense oyster]

Oh then formulas differ?

[cobalt plaza]

yup

[dense oyster]

I termed it the wrong way here

[cobalt plaza]

The integral is correct but I think I lost a constant somewhere

[dense oyster]

Integral of the below is cosec^-1(x)

[cobalt plaza]

because when I take the derivative of my answer it turned out to be wrong

[dense oyster]

I see

[cobalt plaza]

I'll try the problem again

and let you know

[spark berry]

seems correct

[azure musk]

don’t really know, but I only know you didn’t add dx in the first few lines

and add c

:)

[tender hearth]

@cobalt plaza should i send u a solution of mine to this?

u added an extra minus by the fifth step

[tender hearth]

this is the only mistake i guess

the coefficient of the final answer is wrong

u simplified it wrongly

-sqrt3/6sqrt2 is equal to - 1/2sqrt2

not -1/2