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  • Class 12 Maths Study Material

An Educational platform for Preparation and Practice Class 12. Kidsfront provide unique pattern of learning Maths with free online comprehensive study material in the form of QUESTION & ANSWER for each Chapter of Maths for Class 12. This study material help Class 12, Maths students in learning every aspect of Integrals. Students can understand Integrals concept easily and consolidate their learning by doing Online Practice Tests on Maths,Integrals chapter repeatedly till they excel in Class 12, Integrals. Free ONLINE PRACTICE TESTS on Class 12, Integrals comprise of Hundreds of Questions on Integrals, prepared by the highly professionals team. Every repeat test of Integrals will have new set of questions and help students to prepare themselves for exams by doing unlimited Online Test exercise on Integrals. Attempt ONLINE TEST on Class 12,Maths,Integrals in Academics section after completing this Integrals Question Answer Exercise.


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  • Topic wise:Integrals preparation in the form of QUESTION & ANSWER.
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  • Attempt repeat ONLINE TESTS of Maths Integrals till you excel.
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Integrals
When derivative of a function is given and we have to determine the function, this process is called _________ .

a) Derivation
b) Integration
c) Limits
d) Differentiation



Answer
Correct Answer Is : Integration
Solution Is :
The integration is the inverse process of a ____________.

a) Differentiation
b) Limits
c) Applications of integration
d) Applications of differentiation



Answer
Correct Answer Is : Differentiation
Solution Is :
If∫ f (x)dx, f(x) is?

a) An integral
b) Derivative
c) Any function
d) All of these



Answer
Correct Answer Is : An integral
Solution Is :
If∫ f (x)dx, f(x) is an integral and x is ?

a) A constant variable
b) A variable of integral
c) A variable of constant
d) A integration function



Answer
Correct Answer Is : A variable of integral
Solution Is :
If a and b are any non-zero real number,∫(1/(ax + b))dx = ?

a) Log |ax + b|/a + c
b) Log |ax + b|/a
c) Log |ax + b|/b + c
d) Log |ax - b|/a + c



Answer
Correct Answer Is : Log |ax + b|/a + c
Solution Is :
If a and b are any non-zero real number,∫cos (ax + b)dx = ?

a) Sin (ax + b) /a
b) Sin (ax + b) /a + c
c) Sin (ax - b) /a
d) Sin (ax - b) /a + c



Answer
Correct Answer Is : Sin (ax + b) /a + c
Solution Is :
True or false: integral is also called anti-derivative.

a) TRUE
b) FALSE
c) Maybe
d) None of these



Answer
Correct Answer Is : TRUE
Solution Is :
If a and b are any non-zero real number,∫(e^(ax + b))dx = ?

a) E^(ax + b)
b) E^(ax + b)/a
c) E^(ax + b)/a + c
d) All of these



Answer
Correct Answer Is : E^(ax + b)/a + c
Solution Is :
If a and b are any non-zero real number,∫(sin(ax + b))dx = ?

a) (-cos(ax + b))
b) (cos(ax + b))
c) (-cos(ax + b))/a
d) (-cos(ax + b))/a + c



Answer
Correct Answer Is : (-cos(ax + b))/a + c
Solution Is :
If f(x) and g(x) are two real value functions such that∫ f(x)dx and∫ g(x)dx exist, then

a) ∫[f(x) ± g(x)]dx =∫ f(x)dx ±∫ g(x)dx
b) ∫[f(x) ± g(x)]dx =∫ f(x)dx +∫ g(x)dx
c) ∫[f(x) ± g(x)]dx =∫ f(x)dx -∫ g(x)dx
d) All of these



Answer
Correct Answer Is : All of these
Solution Is :
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