Learning Task 4 Let us Integrate! Directions: Determine the general solution of the given equation. 1. xy'dx + e*dy = 0 2. dy dx =e3x+2y dy 3. (x + 1) dx -=X YON IV. CALA 4. xcos ydx + tan y dy = 0 5. sin x sin y dx + cos x cos y dy = 0 Learning Task 5 Let's Do This! Directions: Determine the particular solution of the given equation. 1. x-2 and y-1; xy'dx + exdy = 0 2. x=0 and y=1; dy elx+zy dx 3. x-1 and y-2; (x + 1)- dy dx - =X 4. x-2 and y-0; xcos ydx + tanydy = 0 5.x-0 and y-3; sin x sin y dx + cos x cosy dy = 0Learning Task 5 Find My Area Exactly Direction: Find the area under the curve of the following functions f(x) by applying the Fundamental Theorem of Calculus. Illustrate the graph and the area of the given functions. 1. f(x) - 2x + 4, in the interval [2, 5] 2. f(x) = -x2 - 3x + 4, in the interval [-2, 2] 3. f(x) = 3*-2, in the interval [0, 4] 4. f(x) - sin 2x, in the interval (1Learning Task 4 Evaluate then Let's See Direction: Evaluate the following by applying the Fundamental Theorem of Calculus 1. [ (+2 + 4) dt] 3. V4t + 5 dt] 2. d (4 - 7dt] 4 axl [ (el + 4) dt] dx