Trigonometric equations

[Kcashew]

Just to clarify, my equation goes like this:

(e^t)dt/((36+e^t)^0.5)

The answer I have given in this picture is incorrect.

I feel that I may not have factored out the one-sixths correctly, but I wanted to see if there was some other problem with my arithmetic.

Is there anywhere else that I messed up?

 

[topsquark]

Yes, you need to cancel both 6s on the first line. You also apparently did a substitution and didn't change the limits on your integral. Since you didn't apply those limits until you back-substituted it worked out okay but it's a bad habit and a potential cause for confusion. Other than that, after you fix the 6 problem and carry it through it looks okay.

-Dan

 

[Deleted member 4993]

Just to clarify, my equation goes like this:

(e^t)dt/((36+e^t)^0.5)

The answer I have given in this picture is incorrect.

I feel that I may not have factored out the one-sixths correctly, but I wanted to see if there was some other problem with my arithmetic.

Is there anywhere else that I messed up?

If you substitute:

x = (e^t/6), you would get:

Int = sinh^-1(e^t/6) + C