IB Math SL – Integration
Questions and Answers
1. Integration, Integrals – IB Mathematics SL
How can we find the following indefinite integral?
Solution
2. Integration, Integrals – IB Mathematics SL
How can we find the real number a>1 for which the following definite integral equals to 4?
Solution
So, since
3. Kinematics, Integration, Integrals – IB Mathematics SL
How can we find the times at which a particle comes to rest when is moving in a straight line with acceleration and with initial speed
?
Solution
The acceleration can be expressed as
So,
Next, we find the constant by setting the initial conditions of the problem (for t=0 , v=8)
.
Therefore, the velocity function is
The particle comes to rest when