Definite Integral

This section becomes easier to move on to the concept once they have fully grasped the idea of indefinite integrals and had opportunities to practice solving them. In some ways, indefinite integrals can be seen as a way to introduce the ‘theory’ with definite integrals offering more scope for lecturers and students to apply this knowledge to real world problems. 

Many students grasp integration but make silly errors when completing the two part calculation. Simple peer assessment could help students to think about setting each step of their work minimizing these small but significant slips. This work could be made more engaging by inviting students to mix and match integration problems with graphical representations.

This section needs a lot of practice to get better understanding. Broadly, this section makes the root of every scientific organization and studies.

Topics Covered: 

• Geometrical Interpretation of Definite Integral
• Fundamental Theorems of Calculus
• Properties of Definite Integration
• Differentiation Under Integral Sign
• Definite Integral as Limit of Sum
• Area as Definite Integral
• Working Rule for Finding Area
• Objective Problems of Definite Problems
• Solved Examples of Area Definite Integral
• Area Bounded by Parabola Straight Line Circle
• Solved Examples of Definite Integral
• Solved Examples of Definite Integral