4 Chapter 10 Techniques of Integration EXAMPLE 1012 Evaluate Z sin6 xdx Use sin2 x = (1 − cos(2x))/2 to rewrite the function Z sin6 xdx = Z (sin2 x)3 dx = Z (1− cos2x)3 8 dx = 1 8 Z 1−3cos2x3cos2 2x− cos3 2xdx Now we have four integrals to evaluate Z 1dx = x and ZAnswer (1 of 8) Thanks for the A!#int sec^5x dx = tanxsec^3x 3int (sec^2x 1) sec^3x dx# and using the linearity of the integral #int sec^5x dx = tanxsec^3x 3int sec^3x dx 3 int sec^5x dx# The integral now appears on both sides of the equation and we can solve for it obtaining a reduction formula #int sec^5x dx = 1/4(tanxsec^3x 3int sec^3x dx)#
What Is Integral Of Sin2x Tan2x Quora
