IB Math SL – Integration
Questions and Answers
1. Integration, Integrals – IB Mathematics SL
How can we find the following indefinite integral?
2. Integration, Integrals – IB Mathematics SL
How can we find the real number a>1 for which the following definite integral equals to 4?
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 ?
The acceleration can be expressed as
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
Basic Indefinite Integration (Polynomial, Exponential, Quotient)
Area Under a Quadratic Function Using Definite Integration
Definite Integration Involving a Basic Trig Function (above and below x-axis)
Application of Definite Integration (Distance)
Determining Area Between Two Curves – Integration Application