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Definite Integrals MCQ - 2 - Mathematics MCQ


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20 Questions MCQ Test Topic-wise Tests & Solved Examples for Mathematics - Definite Integrals MCQ - 2

Definite Integrals MCQ - 2 for Mathematics 2024 is part of Topic-wise Tests & Solved Examples for Mathematics preparation. The Definite Integrals MCQ - 2 questions and answers have been prepared according to the Mathematics exam syllabus.The Definite Integrals MCQ - 2 MCQs are made for Mathematics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Definite Integrals MCQ - 2 below.
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Definite Integrals MCQ - 2 - Question 1

Let f and g be two step function defined on a given rectangel then c1f + c2g is

Definite Integrals MCQ - 2 - Question 2

The point of intersection of F1(x) =  2tdt are

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Definite Integrals MCQ - 2 - Question 3

Let  be continuous functions, then the value of the integral 

Definite Integrals MCQ - 2 - Question 4

Let f:  then f(4) equals

Definite Integrals MCQ - 2 - Question 5

If  then the value of f ( x ) + g ( x ) is

Definite Integrals MCQ - 2 - Question 6

Solution of the equation   are

Definite Integrals MCQ - 2 - Question 7

The integral is equal to

Detailed Solution for Definite Integrals MCQ - 2 - Question 7

The given integral is


From above triple integral, the projection in yz-plane is y = 0, y = 1 – z & z = 0, z = 1

So, the above integral can be rewrite as

Definite Integrals MCQ - 2 - Question 8

If  equal to

Definite Integrals MCQ - 2 - Question 9

If f(x) =  then

Definite Integrals MCQ - 2 - Question 10

The value of  is

Definite Integrals MCQ - 2 - Question 11

Let f:  be a differentiable function having f(2) = 6, f'(2) = 1/48. Then  equals

Definite Integrals MCQ - 2 - Question 12

The value of  is 

Definite Integrals MCQ - 2 - Question 13

If  is

Definite Integrals MCQ - 2 - Question 14

Let V be the region bounded by the planes x = 0, x = 2, y = 0, z = 0 and y + z = 1. Then the value of integral ∫∫V ∫ y dx dy dz is

Detailed Solution for Definite Integrals MCQ - 2 - Question 14

 Let IV = ∫∫V ∫ y dx dy dz is
where V is the region bounded by the planes x = 0, x = 2, y = 0, z = 0 & y + z = 1




Definite Integrals MCQ - 2 - Question 15

If  then f(0) is

Definite Integrals MCQ - 2 - Question 16

Let f: be a continuous function. If  then f ( —5 ) is equal to 

Definite Integrals MCQ - 2 - Question 17

Let a be a nonzero real number. Then  equals.

Definite Integrals MCQ - 2 - Question 18

Let f (x) =  where g is a real valued continuous functon on  Then f ' ( x ) is equal to

Definite Integrals MCQ - 2 - Question 19

Let be a continuous functions. If  then f (3) is equal to

Definite Integrals MCQ - 2 - Question 20

If a function f is continuous for x ≥ 0 and satisfies 

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