Integration of tanx/1+tanx (Solution)

preview_player
Показать описание
Integration of tanx/1+tanx (Solution)

Integration of tanx/1+tanx (Solution)

Integration of tanx/1+tanx (Solution) - this video teaches us how to perform the Integration of tanx/1+tanx (Solution)

Check out other popular integration problems below! :

1) Integration involving sin

2) Integration involving cos

3) Integration involving tan

4)Integration involving e^x

More to be added soon.

TAGS:
Integration of tanx/1+tanx
Integral of tanx/1+tanx
tanx/1+tanx integral
integrate tanx/1+tanx
tanx/1+tanx integration
integration
Integration of tanx/1+tanx
Integral of tanx/1+tanx
tanx/1+tanx integral
integrate tanx/1+tanx
tanx/1+tanx integration
integration
Рекомендации по теме
Комментарии
Автор

YES! but the other method is this:
I = int of tan(x)*dx/(1+tan(x)), multiply and divide by cos(x):
I = int of sin(x)*dx/(sin(x)+cos(x)), now add and subtract cos(x) and divide by 2:
I = (1/2)*int of (sin(x)+cos(x)+sin(x)-cos(x))*dx/(sin(x)+cos(x)), split the integral:
I = (1/2)*int of
(1/2)*int of
sin(x)+cos(x) terms in the 1st integral cancel.
Let sin(x)+cos(x)=t
(cos(x)-sin(x))*dx=dt--> -dt=(sin(x)-cos(x))*dx:
I = (1/2)*int of dx-(1/2)*int of dt/t
I = (1/2)*x - (1/2)*lnItI + C = x/2 - (1/2)*lnIsin(x)+cos(x)I + C.

ernestschoenmakers