Hey y'all!
Here is my integral:
The book does the substitution with ,
I worked mine out before I looked at the answer, I changed everything to terms of sin and cos and worked it that way.
My answer:
Book answer:
Is my answer wrong?
Hey y'all!
Here is my integral:
The book does the substitution with ,
I worked mine out before I looked at the answer, I changed everything to terms of sin and cos and worked it that way.
My answer:
Book answer:
Is my answer wrong?
Nope you're perfectly fine.
To see why, use the fact that:
The stuff in red is nothing more than a constant, so call it
So your expression is equal to:
which is exactly what the book had.
Remember, all antiderivatives of a given function differ only by their constants which is what we've shown here.