## anonymous 5 years ago how do you do this integral: ∫(t^2)sin⁡(t^3+t^4)√(2t+9t^4+16t^6 )dt from 0 to 5?

1. anonymous

That problem is insane

2. anonymous

yah i know

3. anonymous

can't use calculator either

4. anonymous

i typed it into wolframalpha.com it solved the problem but it didnt give the result

5. anonymous

I get - 12.01 but after the 01 the number goes even further than that

6. anonymous

i dont know if thats the right answer

7. anonymous

unless there is another way around it. original problem is fine the line integran $\int\limits_{}^{} xsin(y+z)ds 8. anonymous oops lemme do that again 9. anonymous find the line integral: \[\int\limits_{}^{} xsin(y+z)ds$

10. anonymous

where x = t^2 y= t^3 z=t^4 $0\le t \le5$

11. anonymous

the answer should be around 15 too

12. anonymous

hmm im not sure

13. anonymous

thats what the professor told us.

14. anonymous

wow not much of a professor lol I thought professor knew everything

15. anonymous

well he told us he wanted us to solve it. And that the answer was around 15 to kinda help us i guess. But no clue where to even begin solving that integral

16. anonymous

wow i still dont know where to start

17. anonymous

yeah same

18. anonymous

i think you can use integration by parts here. http://en.wikipedia.org/wiki/Integration_by_parts

19. anonymous

umm.. not sure how i would approach it with that

20. anonymous

well, I don't remember the procedure now. I just know that these type of integrations can be solved using integration by parts. I think the wikipedia page has the description of how to do it. Sorry I can't be of more help.

21. anonymous

ok, thanks anyways.