Somniantis
New member
- Joined
- Feb 11, 2010
- Messages
- 4
Hello board members,
I need help with an integral. The chapter is from is "Solving integrals by trigonometric substitutions", so I tried that, but got stuck.
?{[(1-X[sup:2etpegdz]2[/sup:2etpegdz])[sup:2etpegdz]5/8[/sup:2etpegdz]]/X[sup:2etpegdz]8[/sup:2etpegdz]}dx
I tried
x=siny, dx=cosy dy so the integral would become:
?{[(1-sin[sup:2etpegdz]2[/sup:2etpegdz]y)[sup:2etpegdz]5/8[/sup:2etpegdz]]cosy/sin[sup:2etpegdz]8[/sup:2etpegdz]y}dy= ?[cos[sup:2etpegdz]9/4[/sup:2etpegdz]y/sin[sup:2etpegdz]8[/sup:2etpegdz]y] dy, but got stuck from there.
I also tried the substitution x= tanh y, and work with tanh and sech instead of cos and sin, still no luck.
Any help appreciated. Thanks.
I need help with an integral. The chapter is from is "Solving integrals by trigonometric substitutions", so I tried that, but got stuck.
?{[(1-X[sup:2etpegdz]2[/sup:2etpegdz])[sup:2etpegdz]5/8[/sup:2etpegdz]]/X[sup:2etpegdz]8[/sup:2etpegdz]}dx
I tried
x=siny, dx=cosy dy so the integral would become:
?{[(1-sin[sup:2etpegdz]2[/sup:2etpegdz]y)[sup:2etpegdz]5/8[/sup:2etpegdz]]cosy/sin[sup:2etpegdz]8[/sup:2etpegdz]y}dy= ?[cos[sup:2etpegdz]9/4[/sup:2etpegdz]y/sin[sup:2etpegdz]8[/sup:2etpegdz]y] dy, but got stuck from there.
I also tried the substitution x= tanh y, and work with tanh and sech instead of cos and sin, still no luck.
Any help appreciated. Thanks.