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Test: Integration Basics - JEE MCQ


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10 Questions MCQ Test Physics for JEE Main & Advanced - Test: Integration Basics

Test: Integration Basics for JEE 2025 is part of Physics for JEE Main & Advanced preparation. The Test: Integration Basics questions and answers have been prepared according to the JEE exam syllabus.The Test: Integration Basics MCQs are made for JEE 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Integration Basics below.
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Test: Integration Basics - Question 1

Find ∫6x(x2+6)dx.

Detailed Solution for Test: Integration Basics - 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

Integrate:

 

Detailed Solution for Test: Integration Basics - Question 2

Split the integral

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

Second term: 

Combine:

So, Option (c) is the correct answer.

Test: Integration Basics - Question 3

Detailed Solution for Test: Integration Basics - Question 3


     
Test: Integration Basics - Question 4

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Test: Integration Basics - Question 5

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Test: Integration Basics - Question 6

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Test: Integration Basics - Question 7

Evaluate: 

Detailed Solution for Test: Integration Basics - Question 7

Method1: by cross checking the options

Hence option 3 is the correct answer and we can check the other choices by the similar argument.

Test: Integration Basics - Question 8

Evaluate:

 

Detailed Solution for Test: Integration Basics - Question 8

So, Option C is the correct answer.

Test: Integration Basics - Question 9

Evaluate: ∫ex sin x dx

Detailed Solution for Test: Integration Basics - Question 9

So, Option (a) is the correct answer.

Test: Integration Basics - Question 10

Evaluate:

Detailed Solution for Test: Integration Basics - Question 10

So, Option (c) is the correct answer.

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