dx Use Gamma function to prove that (1-x)1 1/6 8. Using method of differentiation under integral...

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dx Use Gamma function to prove that (1-x)1 1/6 8. Using method of differentiation under integral sign, evaluate: sin bx dx. 9. Find the area bounded by the cardioid, ra(1 + cos). OR Find the volume of the solid formed by revolving the cycloid x = a(0 + sine), ya(1 cose) about its base. Find the angle through which the axes must be turned so that the equation ax+2hxy+by=0 may become an equation having no term involving xy. M. Obtain the equation of an ellipse in the standard form. dx Use Gamma function to prove that (1-x)1 1/6 8. Using method of differentiation under integral sign, evaluate: sin bx dx. 9. Find the area bounded by the cardioid, ra(1 + cos). OR Find the volume of the solid formed by revolving the cycloid x = a(0 + sine), ya(1 cose) about its base. Find the angle through which the axes must be turned so that the equation ax+2hxy+by=0 may become an equation having no term involving xy. M. Obtain the equation of an ellipse in the standard form.