7.4. Trigonometric Integrals http://www.ck12.org
6.∫tan^4 xsecxdx
7.∫√tanxsec^4 xdx
8.∫ 0 π/^2 tan^5 x 2 dx- Graph and then find the volume of the solid that results when the region enclosed byy=sinx,y=cosx,x= 0 ,
andx=π/4 is revolved around thex−axis.
a. Prove that∫cscxdx=−ln|cscx+cotx|+C
b. Show that it can also be written in the following two forms:∫cscxdx=ln|tan^12 x|+C=ln|cscx−cotx|+C.