Integration Problems

1) ∫(tan(pi/4-∂))/sin∂cos∂√(1+tan∂+cot∂) d∂ = -2tan^-1√f(∂) + c. Then Minimum value of f(∂) is
Opts - 4, 2, 6, 3

2) f(x) and g(x) are two real valued functions. Find the no. of solutions of equation
∫f(x(10-x))(√(x-1)(x-2)(x-8)(x-9))(x-5)(g(x)+g(10-x)dx=sinx in the region [0,2pi] is
Opts - 1,2,3,4. (The integration limits are 1 to 9)