IB Math HL – Integration
Questions and Answers
1. Integration, Integrals – IB Mathematics HL
How can we find the following indefinite integral?
Solution
Divide by cos^2x
2. Integration, Integrals – IB Mathematics HL
How can we find the real number p>1 for which the following definite integral equals to 2?
Solution
So, since
3. Kinematics, Integration, Integrals – IB Mathematics HL
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
We know that the acceleration
So,
Next, we find the constant by setting the initial conditions of the problem (for t=0 , v=60)
.
Therefore, the velocity function is
The particle comes to rest when
4. Integration, Integrals – IB Mathematics HL
How can we find the following indefinite integral?
Solution