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sarah12345

how do i intergrate cosh^2 x ?

thanks

thanks

Here is a solution....I have no idea how it is done.

thanks i get it now!! also if tanh x = 1/2

how would you work out cosh x and sinh x ?

thanks alot

how would you work out cosh x and sinh x ?

thanks alot

sarah12345

how do i intergrate cosh^2 x ?

thanks

thanks

OR

cosh x=e^x+e^(-x)/2

cosh^2x= 1/4[e^(2x)+2+e^(-2x)]

int cosh^2(x)= 1/4[1/2e^(2x)+2x-1/2e(-2x)]+C

=1/4[e^(2x)-e^(-2x)/2]+x/2+C

=1/4sinh(2x)+x/2+C

sarah12345

thanks i get it now!! also if tanh x = 1/2

how would you work out cosh x and sinh x ?

thanks alot

how would you work out cosh x and sinh x ?

thanks alot

tanhx=e^(x)-e^(-x)/e^(x)+e^(-x)=1/2

=> 2[e^(x)-e^(-x)]=e^(x)+e^(-x)

e^(x)-3e^(-x)=0

e^(2x)-3=0

e^(x)=rt(3)

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