In this chapter, we will be learning about integration, which is the inverse of differentiation.
We will explore the concept of indefinite integral, which involves finding the antiderivative of a function.
This will allow us to find the general solution to a differential equation.
We will also study definite integrals, which involve finding the area under a curve. Additionally, we will learn about the relationship between differentiation and integration, and how to deduce indefinite integral formulas using induction.
Finally, we will apply integration to solve real-world problems in various fields such as physics, economics, and engineering.
• Explain the relationship between differentiation and integration
• Deduce indefinite integral formula by induction
• Determine the indefinite integral of algebraic function
• Determine the indefinite integral of a function in (ax + b)^n formed, such that a and b are constant, n is an integer and n =/= 1
• Determine the equation of a curve from gradient function
• Determine the value of definite integral for an algebraic function
• Investigate an explain the relationship between limit for the sum of area of a rectangular and area under the curve
• Determine the area of a region
• Investigate and explain the relationship between limit for the sum of volume of cylinder and the volume generated from the range of a region
• Determine the generated volume of a region that revolved about the x-axis or y-axis
• Solving problems involving integration
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