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 / 1-sinx...
- Math - dz =(−sinx + 2xy^2)dx +(2x^2 y)dy Integrate the differential to ...
- Pre-Calc - Trigonometric Identities Prove: (tanx + secx -1)/(tanx - secx + 1)= ...
- Trigonometry Check - Simplify #3: [cosx-sin(90-x)sinx]/[cosx-cos(180-x)tanx] = [...
- Trigonometry. - ( tanx/1-cotx )+ (cotx/1-tanx)= (1+secxcscx) Good one! ...
- Math - Verify the identity . (cscX-cotX)^2=1-cosX/1+cosX _______ sorry i cant ...
- Calculus - If y=3/(sinx+cosx) , find dy/dx A. 3sinx-3cosx B. 3/(sinx+cosx)^2 C...
- Calculus 2 Trigonometric Substitution - I'm working this problem: ∫ [1-tan...
- math - Integrate sinx/sinx-cosx..... Plz note sinx-cosx as a whole is in the ...
- Math - Pre- Clac - Prove that each of these equations is an identity. A) (1 + ...