Question

Integration of sin^4 x/cos^6 x dx

Answer 1

Step-by-step explanation:

Integration of sin^4 x/cos^6 x dx

Integration of (sin^4 x)/(cos^4x × cos^2x)dx

sinx/cosx=tanx

Integration of tan^4x/cos^2xdx

Integration of tan^4xsec^2xdx

assume tanx = t

then differentiation of tanx=t

sec^2(x)dx = dt

Integration of t^4dt

= t^5/5

=tan^5(x)/5