Sometimes easy and sometimes hard, our calculus problem of the week could come from any calculus topic. If you really want to get better at calculus, following these problems is a great way to make yourself practice! Past calculus problems of the week.
This week’s problem:
(click “see the solution” at the bottom of post to, well, see the solution.)
Find the integral: .
BURNED into your brain! Using this identity, you can rewrite the entire integral.
Now this integral can be found using the substitution . If , then and . Then the integral becomes:
Note: You could have used and your final answer would be . Now, this does not EQUAL the above answer but they differ only by a constant which is accounted for in C.