Question: A). Evaluate the following definite integrals: 1. So(x + ezx) dx 9 Vx 2. JA dx (30-x2)2 3. | 2 log sin xdx 4. J,






A). Evaluate the following definite integrals: 1. So(x + ezx) dx 9 Vx 2. JA dx (30-x2)2 3. | 2 log sin xdx 4. J, xe * dx 1 5. 00 1+x2 dxB). Evaluate the following definite integrals by using Wallis' formula: 6. J x8v1 - x2 dx 7. So (a2 - x2)z dx 8. 4 sin2 4y cos2 2ydy 9. So sin's =y cos7 =ydy 10. J x*V1 - x2 dx11. Find the area between the curve y = x(x 3) and the ordinates x = 0 and x = 5. 12. Find the area of the segment cut off from the curve y = sin 1:, O 5 x 5 it by the line y = %x. _ ' x2 y: _ 13. Find the area of the ellipse E + 16 14. Find the area of the circle 1'2 + y2 = 9. 15. Find the volume generated by revolving the area under the curvey = e", from x = 0 to x = 1, about the line as = 1
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