6. Apply the method of differentiation under integral sign to evaluate o 1 tan (ax) dx....

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6. Apply the method of differentiation under integral sign to evaluate o 1 tan (ax) dx. x(1+x) sin 7.- Prove that Jo xdx sin x + cos x = log(2+1). 2 5 8: Use Gamma function to prove cos 4 30. sin 2 60 = .5 192 9. Find, by method of integration, the area of the loop of the curve ay = x (a-x). 10. Solve the differential equation (1+x2) dy +y=etanx5 dx 6. Apply the method of differentiation under integral sign to evaluate o 1 tan (ax) dx. x(1+x) sin 7.- Prove that Jo xdx sin x + cos x = log(2+1). 2 5 8: Use Gamma function to prove cos 4 30. sin 2 60 = .5 192 9. Find, by method of integration, the area of the loop of the curve ay = x (a-x). 10. Solve the differential equation (1+x2) dy +y=etanx5 dx