Question: Could someone help with this review. 1) Evaluate the integral VX - - 1 dx ci ) dx dx x 3 + X X 2

Could someone help with this review.

Could someone help with this review. 1) Evaluate the integral VX -

1) Evaluate the integral VX - - 1 dx ci ) dx dx x 3 + X X 2 x 2+4 2 ) Find the area of the surface obtained by rotating the curve 1+ X 3 5 X- 8 about x axis . 3) Solve the differential equations i ) 2ye y = 2x + 35x ii) ax = 1-t+ x - t x dt 4) Find the solution of the differential equations that satisfies the givean initial condition dy eux dy x4 , y (1 ) = - 2 . ci ) dx = - 2 tx + * * ( 0 ) = 5 . 5) Find the radius of convergence and interval of convergence of the series : ) C-igh ( * + 2 ) h= 1 1 5

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