Find the following integrals, showing all working. (a) [2x² (x³ + 5)³/² dx (b) / (c) 4 (d) [* 5x x²-1 dx (4e-2 + t³) dt e3√√-2 2√√√ dx

Compute the following. d -[(3x11+5x7-12xª+16x²+28x)(7sec(x)-5x¬4–14)] dx

b) Rationalize the numerator of 1 1 √Tx √7(x + h) h Simplify your answer to the form A = = A " where

Find: 7 A. ²¾½ ( x − 3 ) ² − § (x − 3)² + 6(x − 6 2 ²√x-3 dx =? B. 7 6 ¾/ (x − 3) ²¹ – §§ (x − 3) ž 5 7 c. ²/(x − 3 ) ² 2 + ½³² (x − 3)² 5 D. ² ( x − 3 ) ² + ¹⁄² ( x − 3)² E. NO correct choices 3 3) ²³ + c 3 + ² (x − 3) ² + c + c + ²½ (x − 3) ² 3 6(x − 3)² + c + + 6(x −