Intergration Help (1 Viewer)

[Lamak]

can someone help me with intigration

integrate:
(1 + cosx) / (1 + sinx) using t-results

 

[shafqat]

can someone help me with intigration

integrate:
(1 + cosx) / (1 + sinx) using t-results

this would be done better multiplying top and bottom by 1 - sinx i think

 

[Lamak]

Nah i gotta use t-results...

 

[KFunk]

Shafqat's method works pretty decent but if you need to use t-results:

t = tan(x/2)
dt/dx = 1/2.sec²(x/2)
dx = 2dt/[1 + tan²(x/2)]
dx = 2dt/(1 + t²)

cosx = (1-t²)/(1+t²)
sinx = 2t/(1+t²)

hence ∫ (1 +cosx)/(1 +sinx) dx
= ∫ (1 + [1-t²]/[1+t²])/(1 + 2t/[1+t²]).2/(1 + t²) dt

Simplify it and have a go form there

 

[ishq]

In general, when asked to use t-results, must you use them as the first step? Or can you simplify first?

 

[FinalFantasy]

In general, when asked to use t-results, must you use them as the first step? Or can you simplify first?

can simplify first