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JEE Exam  >  JEE Test  >  Physics Main & Advanced  >  Test: Integration Basics - JEE MCQ

Integration Basics - Free MCQ Practice Test with solutions, JEE Physics


MCQ Practice Test & Solutions: Test: Integration Basics (10 Questions)

You can prepare effectively for JEE Physics for JEE Main & Advanced with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Integration Basics". These 10 questions have been designed by the experts with the latest curriculum of JEE 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

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Test: Integration Basics - Question 1
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Find ∫6x(x2+6)dx.

Detailed Solution: Question 1

Step 1: Expand the integrand

Step 2: Integrate term-wise

Step 3: Simplify

So, Option (c) is the correct answer.

Test: Integration Basics - Question 2
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Integrate:

 

Detailed Solution: Question 2

Split the integral

First term (substitution):
Let u = x3
⇒ du = 3x2 dx

Second term: 

Combine:

So, Option (c) is the correct answer.

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Test: Integration Basics - Question 3
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Detailed Solution: Question 3


     

Test: Integration Basics - Question 4
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Detailed Solution: Question 4

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Test: Integration Basics - Question 5
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​

Detailed Solution: Question 5

Test: Integration Basics - Question 6
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​

Detailed Solution: Question 6

​

Test: Integration Basics - Question 7
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Evaluate: ​

Detailed Solution: Question 7

By cross checking the options, we can find the answer.
​
Hence option 3 is the correct answer and we can check the other choices by the similar argument.

Test: Integration Basics - Question 8
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Evaluate:

 ​

Detailed Solution: Question 8

So, Option C is the correct answer.

Test: Integration Basics - Question 9
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Evaluate: ∫ex sin x dx

Detailed Solution: Question 9

​

So, Option (a) is the correct answer.

Test: Integration Basics - Question 10
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Evaluate:

Detailed Solution: Question 10

So, Option (c) is the correct answer.

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About this JEE Practice Test

This test contains 10 MCQs on Integration Basics with detailed solutions for each question. It is part of the Physics for JEE Main & Advanced course on EduRev, designed to align with the current JEE syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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