Question 1 3 3 1 3 3 yxyx  [x = 2.4] 4 ) 3 y 1sin(  x [x = 2.4] 5 y = ln (sin x3 ) [x = 3.5] Question 2 1. Perform the integral of the following functions: 1. ∫ 4esinx cosx dx 2. ∫ (x 2 +2x +1) dx 3. ∫ 3cos(1-2x)dx Question 3 Perform the integral of the following functions: 1. ∫x sin x 2 dx 2. dx e e x x    1 Question 4 1. Find the order and the degree of the following differential equations: b) ௗర௬ ௗ௫ర ௗ௫ െ ሺௗమ௬ మሻଶ ൌ 3ݔ c) ሺ ௗ௬ ௗ௫ሻସ െ ሺௗర௬ ௗ௫రሻଶ ൌ 35 d) ௗ௫ ሺ ௗమ௬ మሻହ െݔൌ5 6 3. Solve the following differential equation: 7 02cos 35   ex x dx dy x 4. Determine if the following differential equations are separable: i. sinx dx + y2dy = 0 ii. xy2dx - x2 y 2dy = 0 iii. (1 + 2xy) dx + ydy = 0 Question 5