Additional Maths Module 2 Lesson 4

Yo Students! Today marks the end of the Module 2! As things were pretty rush, I tried my best to answer every question that was being brought up by everyone. I hope everyone understood the topics covered today.

1.)Integration
2.)Application of Integration I : Area Under a Curve
3.)Application of Integration II: Kinematics

Under the topic of integration, always remember that if you are not sure of your answer, try to differentiate your answer to see if you can obtain the original form.

Integration of exponential terms, trigo functions have all been gone through today. Some ways of solving integration problems is to split the equation into its simpler terms, either by applying the partial fraction method, or the individual fraction terms.

For Area Under a Curve, always note what the question wants you to find. It is normal to find the intersecting points of 2 curves, thus from there you can find the lower and the higher limit of the integral order. Lastly, use regular shapes like triangles,trapezium,rectangles to speed up the finding of the area under the curve.

For Kinematics, most important thing you must note is the original equation that is provided.
s denotes displacement
v denotes velocity
a denotes acceleration

We differentiate s to get v, differentiate v to get a, while we integrate a to get v, integrate v to get s. Take note of the constants during integration from a to v or from v to s. Constants are normally provided, when t=0s.

Ok, that is all for now, I hope its clear for everyone. Its been good knowing everyone, especially those who went through more than 32 grueling hours of maths solving with me, your efforts will definitely be paid off. I wish you all the best for coming Module 2 Exam that I've prepared for you all this coming Sunday 9th of August. There will only be one paper of 18 questions, 100 marks, to be completed in 2.5hrs

Morning Paper is at 10am-12.30pm
Afternoon Paper is at 3pm-5.30pm

Pls "read" through the quiz questions before coming for the Exam. Lastly, before I pen off, have lots of rest and drink lots of water during this period of time. All the best!