Definite Integrals MCQ - 2


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


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This mock test of Definite Integrals MCQ - 2 for Mathematics helps you for every Mathematics entrance exam. This contains 20 Multiple Choice Questions for Mathematics Definite Integrals MCQ - 2 (mcq) to study with solutions a complete question bank. The solved questions answers in this Definite Integrals MCQ - 2 quiz give you a good mix of easy questions and tough questions. Mathematics students definitely take this Definite Integrals MCQ - 2 exercise for a better result in the exam. You can find other Definite Integrals MCQ - 2 extra questions, long questions & short questions for Mathematics on EduRev as well by searching above.
QUESTION: 1

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

Solution:
QUESTION: 2

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

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QUESTION: 3

Let  be continuous functions, then the value of the integral 

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QUESTION: 4

Let f:  then f(4) equals

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QUESTION: 5

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

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QUESTION: 6

Solution of the equation   are

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QUESTION: 7

The integral is equal to

Solution:

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

QUESTION: 8

If  equal to

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QUESTION: 9

If f(x) =  then

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QUESTION: 10

The value of  is

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QUESTION: 11

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

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QUESTION: 12

The value of  is 

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QUESTION: 13

If  is

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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

Solution:

 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




QUESTION: 15

If  then f(0) is

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QUESTION: 16

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

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QUESTION: 17

Let a be a nonzero real number. Then  equals.

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QUESTION: 18

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

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QUESTION: 19

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

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QUESTION: 20

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

Solution:

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