Manual Evaluation
Q1 — Student One
B.Tech Semester 6 — Mathematics · BT6-MATH
Student Answer Script
BT6-001 · REG2026001
Answer Page 1
Page 1 of 2The fundamental theorem of calculus establishes the relationship between differentiation and integration. If a function is continuous on an interval, integration can be used to define an antiderivative and differentiation recovers the original function.
Answer Page 2
Page 2 of 2It provides a method for evaluating definite integrals using antiderivatives and forms an important connection between the two main operations of calculus.
Question
Maximum marks: 5
Explain the fundamental theorem of calculus and describe its significance.
Marking Scheme
Evaluation criteria for this question.
Correct explanation of the theorem
3 marksRelevant mathematical notation
2 marksAI Suggested Evaluation
This suggestion is illustrative. Teacher remains the final authority.
Suggested Marks
4 / 5
The answer identifies the relationship between differentiation and integration and explains the practical significance of the theorem.
Confidence: 91%
Teacher Evaluation
Enter the final marks and optional comments.