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Integration Questions

Practice 39 Integration questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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39
Total Questions
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0
Easy
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37
Medium
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2
Hard

About Integration — practice questions, PYQs & concepts

Integration is a frequently-tested topic on Mathematics, General Knowledge. ExamTest.live currently lists 39 Integration questions spanning previous-year papers from 2004 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Integration weight in competitive exams

Across our Integration question bank, the largest sources are Mathematics (38) and General Knowledge (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 0 easy Integration questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Integration Questions(139 of 39)

Filter:
Q1mediummcqMathematicsMathematics Mock Test - 62026
4% accuracy
Evaluate .
Q2mediummcqMathematicsMathematics Mock Test - 102026
9% accuracy
If , then the value of is:
Q3mediummcqMathematicsMathematics Mock Test - 102026
0% accuracy
Let for every real number , where is the greatest integer less than or equal to . Then the value of is:
Q4mediummcqMathematicsMathematics Mock Test - 102026
18% accuracy
is equal to:
Q5mediummcqMathematicsMathematics Mock Test - 102026
18% accuracy
The curves and intersect infinitely many times, forming bounded regions of equal areas. The area of one such region is:
Q6mediummcqMathematicsMathematics Mock Test - 102026
9% accuracy
The area in the first quadrant between and is:
Q7mediummcqMathematicsMathematics Mock Test - 12026
9% accuracy
If , such that and . Find the value of .
Q8mediummcqMathematicsMathematics Mock Test - 12026
18% accuracy
What is the integral of with respect to ?
Q9mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
Q10mediummcqMathematicsMathematics Mock Test - 42026
0% accuracy
Correct evaluation of (where is an arbitrary constant) is:
Q11mediummcqMathematicsMathematics Mock Test - 42026
100% accuracy
What is equal to?
Q12mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
Evaluate:
Q13mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
Find the value of when:
Q14mediummcqMathematicsJEE Main2026
Statement - I: The value of the integral is equal to .Statement - II: .
Q15mediummcqMathematicsJEE Main2026
The intercepts on -axis made by tangents to the curve , , which are parallel to the line , are equal to:
Q16mediummcqMathematicsMathematics Mock Test - 32026
The solution of is:
Q17mediummcqMathematicsMathematics Mock Test - 32026
What is the area bounded by the curves ?
Q18mediummcqMathematicsMathematics Mock Test - 32026
If and , then what is equal to?
Q19mediummcqMathematicsMathematics Mock Test - 82026
Evaluate the following integral:
Q20mediummcqGeneral KnowledgeIndian Competitive Exams2026
Which award is given for contribution towards national integration?
Q21mediummcqMathematicsJEE Main2026
If , then is equal to:
Q22mediummcqMathematicsAIEEE-CBSE-ENG-032026
If , for and , then:
Q23mediummcqMathematicsAIEEE-CBSE-ENG-032026
If , then is equal to:
Q24mediummcqMathematicsAIEEE-CBSE-ENG-032026
The value of is:
Q25mediummcqMathematicsAIEEE-CBSE-ENG-032026
The value of the integral is:
Q26mediummcqMathematicsAIEEE-CBSE-ENG-032026
is:
Q27mediummcqMathematicsAIEEE-CBSE-ENG-032026
Let , . If , then one of the possible values of , is:
Q28mediummcqMathematicsAIEEE-CBSE-ENG-032026
Let be a function satisfying with and be a function that satisfies . Then the value of the integral , is:
Q29mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
The value of is:
Q30mediummcqMathematicsAIEEE 20122026
If the integral , then is equal to:
Q31mediummcqMathematicsAIEEE2026
is equal to:
Q32hardmcqMathematicsAIEEE 20042004
0% accuracy
If and then the value of is
Q33mediummcqMathematicsAIEEE 20042004
0% accuracy
is equal to
Q34hardmcqMathematicsAIEEE 20042004
0% accuracy
If then is
Q35mediummcqMathematicsAIEEE 20042004
0% accuracy
The value of is
Q36mediummcqMathematicsAIEEE 20042004
0% accuracy
If then value of is
Q37mediummcqMathematicsAIEEE 20042004
0% accuracy
is
Q38mediummcqMathematicsAIEEE 20042004
0% accuracy
The area of the region bounded by the curves and the -axis is
Q39mediummcqMathematicsAIEEE 20042004
0% accuracy
The value of is

Frequently Asked Questions

How many Integration questions are on ExamTest.live?
We have 39 Integration questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Integration MCQs free?
Yes. All Integration questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Integration questions?
Integration questions are commonly asked in Mathematics, General Knowledge. You can filter by exam using the links above.
How do I practice Integration questions effectively?
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.