## anonymous 4 years ago How can I solve the following attached calc problem?

1. anonymous

2. anonymous

Sample problem:

3. anonymous

$\int_a^b (f(t)+g(t)) dt=\int_a^b f(t)dt+\int_a^b g(t)dt$

4. anonymous

$\sqrt[3]{t} = t ^{1/3}$

5. anonymous

$\int\limits_{-1}^{1}t ^{1/3}-4$

6. anonymous

Do you know what to do from there?

7. anonymous

No

8. anonymous

Do you have a calculus textbook?

9. anonymous

This is one of the first things you learn when integrating variables.

10. anonymous

Yes but problems like these aren't provided as examples. These are basically challenges.

11. anonymous

Add one to the exponent and divide the term by that sum.

12. anonymous

$\int\limits_{}^{}t ^{1/3} = {3 \over 4}t ^{4/3}$

13. anonymous

$\int\limits_{?}^{?}-4 dt = -4t$

14. anonymous

3/4t^4/3 - 4t

15. anonymous

then: (3/4-4)-(3/4+4). Right?

16. anonymous

${3 \over 4}t ^{4/3}-4t$

17. anonymous

Close. (-1)^(4/3) = -1

18. anonymous

{(3/4) - 4} - {(-3/4) + 4}

19. anonymous

20. anonymous

21. anonymous

Sample:

22. anonymous

No. Not -8

23. anonymous

But that's what I plugged in and it's right.

24. anonymous

You had the equation worked out wrong. I said "Close".

25. anonymous

I mean, expression. You had the expression written out wrong based on the -1.