Integrals are foundational in Class 12 Mathematics and appear in both board exams and competitive exams because they connect differential calculus with area/accumulation problems, lead to standard forms (like arctan/log outcomes), and build essential skills for evaluating definite integrals, improper integrals, and applying transformations.
15
Minutes
10
Questions
1 / -0
Marking
Q1. Evaluate the definite integral .
Q2. Evaluate .
Q3. Evaluate .
Q4. Assertion: The improper integral converges and equals .
Reason: Substituting transforms the integrand into its negative; hence , so .
Both Assertion and Reason are true but Reason is not the correct explanation for the Assertion.
Assertion is true and Reason is false.
Assertion is false and Reason is true.
Both Assertion and Reason are true and Reason is the correct explanation for the Assertion.
Q5. For evaluate .
Q6. Evaluate the definite integral
Q7. Evaluate
Q8. The improper integral
converges. Its value is
Q9. Evaluate the integral
Q10. Compute