`int sin(x+alpha)/cos^3xsqrt((c o s e c x+secx)/(c o s e c x-secx))dx`

int(secx)/(1+c o s e c x)dx

int(sec^2x)/(c o s e c^2x)dx

int (secx)/(a cos x+ b sin x)dx=

Evaluate: (i) int(tanx)/(secx+tanx)\ dx (ii) int(cos e c\ x)/(cos e c\ x-cotx)\ dx

int(dx)/(tanx+cotx+secx+cos e c x)=

The differentiation of cos e cx with respect to x i s c o s e cxcotxdot i.e. d/(dx)(cos e cx)=-cos e cxcotx

Evaluate: (i) intsecxlog(secx+tanx)\ dx (ii) intcos e c\ xlog(cos e c\ x-cotx)\ dx

Evaluate: (i) intsecxlog(secx+tanx)\ dx (ii) intcos e c\ xlog(cos e c\ x-cotx)\ dx

The solution set of the ineuality (c o s e c^(- 1)x)^2-2c o s e c^(- 1)xgeqpi/6(c o s e c^(- 1)x-2) is (-oo,a] uu [b,oo) , then (a+b) equals

Evaluate: int1/(secx+cos e c\ x)\ dx