I think that my integral is wrong

  • Thread starter Robert Mak
  • Start date
  • #1
26
0
Integral of ((Tan x)^6)dx

i think that the solution is:

(1/5)(tan x)^5 + (1/3)(tan x)^3 - (2/3)(tan x)^3 + tan x - x + c

but if i derivate this solution it lead me to that:


(tan x)^4((tan x)^2 + 2)

?????????????????????????:confused:
 

Answers and Replies

  • #2
235
1
Yes, your integral is incorrect; however, try expanding the expression and then integrating.
 
  • #3
Dick
Science Advisor
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I think your integral is correct. It must be the differentiation that is causing the problem. But no one can tell you why until you show your work.
 
  • #4
cristo
Staff Emeritus
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It looks correct to me, also (although, why you haven't collected those terms in tan^3x, I don't know!)
 
  • #5
Gib Z
Homework Helper
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I think he might forgetting to use the Chain Rule.
 
  • #6
26
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Thanks people; i did a mistake of signs lol.
 

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