Question 01: The curve in red in the pictures below is the graph of y = x2 + 1.
The goal is to approximate and then compute exactly the area between the x-axis and the graph of y = x2 + 1 with x between 0 and 2. (Use Left Hand Riemann Sum with 4 sub-intervals)
![1513_1.png](https://secure.tutorsglobe.com/CMSImages/1513_1.png)
Question 02: Find the derivative of
![338_2.png](https://secure.tutorsglobe.com/CMSImages/338_2.png)
Question 03: Evaluate the Integral: ∫x2 1n (x) dx
Question 04: In each case use substitution to find the integral:
Question 05: Evaluate integration of:
![2122_4.png](https://secure.tutorsglobe.com/CMSImages/2122_4.png)
Question 06: Use Trapezoidal rule to approximate the area under sin(x) from x=0 to x=pi/2 using 3 sub-intervals.
Question 07: Solve the differential equations:
![967_5.png](https://secure.tutorsglobe.com/CMSImages/967_5.png)