Posted by abhi on Friday, October 5, 2012 at 12:00pm.
Integrate sinx+cosx/rootsin2x with respect to dx...plzz help me

calculus  Steve, Friday, October 5, 2012 at 2:37pm
assuming you mean
∫(sinx + cosx)/√sin2x dx
I can think of one way: split into separate terms to get
sinx/√sin2x + cosx/√sin2x
sinx/√(2sinx cosx) + cosx/√(2sinx cosx)
1/√2 (√tanx + √cotx)
Now, I don't recall exactly the steps to integrate √tanx, but it's one of those classic problems that look simple but turn out to be quite complicated.
Visit wolframalpha.com and type in
integral √tan x
to see what I mean
Not sure what the point is to assigning such a problem. Maybe there's a typo in it here.
Answer This Question
Related Questions
 Trig........  I need to prove that the following is true. Thanks (cosx / 1sinx...
 Calculus  Integrate sinx(cosx)^2dx using the substitution u=sinx. I know how to...
 Math  dz =(−sinx + 2xy^2)dx +(2x^2 y)dy Integrate the differential to ...
 PreCalc  Trigonometric Identities Prove: (tanx + secx 1)/(tanx  secx + 1)= ...
 Trigonometry Check  Simplify #3: [cosxsin(90x)sinx]/[cosxcos(180x)tanx] = [...
 Trigonometry.  ( tanx/1cotx )+ (cotx/1tanx)= (1+secxcscx) Good one! Generally...
 Math  Verify the identity . (cscXcotX)^2=1cosX/1+cosX _______ sorry i cant ...
 Calculus  If y=3/(sinx+cosx) , find dy/dx A. 3sinx3cosx B. 3/(sinx+cosx)^2 C...
 Calculus 2 Trigonometric Substitution  I'm working this problem: ∫ [1tan...
 math  Integrate sinx/sinxcosx..... Plz note sinxcosx as a whole is in the ...
More Related Questions