## anonymous one year ago Need help! Use the fundamental theorem of calculus to find the derivative of the following function below

1. anonymous

|dw:1439145201852:dw|

2. IrishBoy123

do it as : |dw:1439145276618:dw|

3. Ac3

This one is pretty straight forward you'll be using a trigonometric identity to simplify.

4. anonymous

So I plug in cos x and sin x into the integrand, and subtract?

5. Ac3

Actually you could do it with a trig identity it may not be necessary though.

6. Ac3

pretty much

7. anonymous

eh...lemme try

8. anonymous

would the integrand be (1+v^2)^11/11?

9. IrishBoy123

can i leave it to you & @Ac3 ??

10. Ac3

not sure to apply the chain rule within the parenthesis or outside of the parenthesis. So not sure for the first part if sin is raised to the 10th with cos^2 or not

11. Ac3

@IrishBoy123

12. anonymous

okay, I dont really know how to work out this problem...I was thinking the chaing rule as well, but I dont think chain rules apply to integrals?

13. Ac3

|dw:1439146574332:dw|

14. anonymous

*applies

15. Ac3

I think this is how the first one should be.

16. Ac3

@IrishBoy123 could you check that.

17. anonymous