`int(i.ii)`

Evaluate : (i) int cos^(3)xsinxdx (ii) int(sqrt(sinx))cosxdx (iii) int(cosec^(2)x)/((1+cotx))dx (iv) int(sinx)/((3+4cosx)^(2))dx

(i) int (cosx)/(1+cosx)dx , (ii) int (sinx)/((1-sinx))dx

Statement - I : The value of the integral int_(pi//6)^(pi//3)(dx)/(1+sqrt(tanx)) is equal to pi/6 . Statement - II : int_a^bf(x)dx=int_a^bf(a+b-x)dxdot (1) Statement - I is True; Statement -II is true; Statement-II is not a correct explanation for Statement-I (2) Statement -I is True; Statement -II is False. (3) Statement -I is False; Statement -II is True (4) Statement -I is True; Statement -II is True; Statement-II is a correct explanation for Statement-I

Evaluate : (i) inttanxdx (ii) intcotxdx (iii) intsecxdx (iv) int"cosec x "dx

Evaluate: (i) int sin^(3)xdx (ii) int cos^(3)xdx( iii )int sin^(3)x cos^(3)xdx

(i) int sin^-1 x dx (ii) int cos^-1 x dx (iii) int cot^-1 x dx

Evaluate: (i) int sin^(2)xdx (ii) int cos^(2)xdx( iii )int sin^(2)x cos^(2)xdx

Evaluate: (i) int4x^(5)dx( ii) int2sin xdx (ii) int3^(x+2)dx (iv) int(1)/(2)sec^(2)xdx

(i) int_2^3 1/x dx (ii) int_1^2 1/x^2 dx (iii) int_1^e (dx)/x (iv) int_-1^1 (x+1) dx