## hiralpatel121 3 years ago How can I solve the following attached calc problem?

1. hiralpatel121

2. hiralpatel121

Sample problem:

3. Herp_Derp

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

4. coreylvaughn

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

5. coreylvaughn

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

6. coreylvaughn

Do you know what to do from there?

7. hiralpatel121

No

8. coreylvaughn

Do you have a calculus textbook?

9. coreylvaughn

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

10. hiralpatel121

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

11. coreylvaughn

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

12. coreylvaughn

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

13. coreylvaughn

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

14. hiralpatel121

3/4t^4/3 - 4t

15. hiralpatel121

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

16. coreylvaughn

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

17. coreylvaughn

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

18. coreylvaughn

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

19. hiralpatel121

20. hiralpatel121

21. hiralpatel121

Sample:

22. coreylvaughn

No. Not -8

23. hiralpatel121

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

24. coreylvaughn

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

25. coreylvaughn

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