I want to check if I did everything correctly

1) Compute the following definite integrals: a) (50/x3 + 2) dx and rabiea nation Ans: 32 1 (50 * +2) dx -3 +1 -5 + 2(5) = -1 +10=9 50x + 2x - 3+ 1 I come from/ Where that is still, this day, the hope of the world -25 + 21 1)-) - 23 4 50* + 2x7 - 25x + -2 + 2 x b) - 2 9 - ( 23) = 32 (15 x3 - 4x ) dx Ans: 156 1 4 15 x 92 + 1 Louis was born.'" 6 ( 4 ) 2 - d ( 4) = 160 + 1 N/W 1+ 1 6 ( 1) 2 - 2 ( 1) = 4 4 15x5/2 - 4x- = 6x3/ 2 dx 2 15 / 2 2 " Pressed 160- 4= 156 11) Find the Area of each shaded region: Area A : / ( - x 2 + 9 ) dx y 2+1 0 4 - x + 9 x 0+1 y = - x2 +9 Area 8 : ( 1 - 2 2 + 9) dy ea * = 18 2+1 0+ 1 3 3 21 - X + 9x ->X 4 ( 4 ) + 9 ( 4 ) = 14.67 3 3 4 ( - 3 ) ' + 9 (3 ) = 18 4 (-0) + 9 1 0 ) = 0 total area A + B 3 18 + 14. 67= 32.67 4 1.0) + 0= 0 Ans: 32. 67 3