Question: 7. Apply differentiation under integral sign to evaluate -ax sin x dx. X 8. Define Beta and Gamma function. Use them to evaluate x2ax-xdx.

7. Apply differentiation under integral sign to evaluate -ax sin x dx. X 8. Define Beta and Gamma function. Use them to evaluate x2ax-xdx. 9. Show that the area of the curve x +y =a is OR 8 Find the volume of the solid formed by the revolution of the cardoid r = a(1+ cose) about the initial line. 10. Solve: (1+ y)dx=(tan"'y-x)dy 11. Solve: y = px -m +p where p = dy dx
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