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  • Quantitative Aptitude Practice Calculus Study Material

Digitization help student to explore and study their academic courses online, as this gives them flexibility and scheduling their learning at their convenience. Kidsfront has prepared unique course material of Calculus Integrals for Quantitative Aptitude Practice student. This free online Calculus study material for Quantitative Aptitude Practice will help students in learning and doing practice on Integrals topic of Quantitative Aptitude Practice Calculus. The study material on Integrals, help Quantitative Aptitude Practice Calculus students to learn every aspect of Integrals and prepare themselves for exams by doing online test exercise for Integrals, as their study progresses in class. Kidsfront provide unique pattern of learning Calculus with free online comprehensive study material and loads of Quantitative Aptitude Practice Calculus Integrals exercise prepared by the highly professionals team. Students can understand Integrals concept easily and consolidate their learning by doing practice test on Integrals regularly till they excel in Calculus Integrals.


Integrals
If f(x) is a continuous function of x, then exists a function ɸ(x) such that _________ .

a) ɸ(x) = f(x)
b) ɸ (x) = f(x)
c) ɸ(x) = f (x)
d) ɸ (x) = f (x)



Answer
Correct Answer Is : ɸ (x) = f (x)
Solution Is :
If we restrict domain of x to (a,b), then the difference ɸ(b) - ɸ(a) is called ___________ .

a) Integration
b) Definite integral
c) Differentiation
d) All of these



Answer
Correct Answer Is : All of these
Solution Is :
If ∫f(x)dx = ɸ(x) + c , then (integration a to b)f(x)dx =

a) ɸ(x)
b) ɸ(b) - ɸ(a)
c) ɸ(a) - ɸ(b)
d) ɸ(b) + ɸ(a)



Answer
Correct Answer Is : ɸ(b) + ɸ(a)
Solution Is :
True or false: in definite integrals there is no need of taking the constant of integration.

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



Answer
Correct Answer Is : MAYBE
Solution Is :
Evaluate: (integration 0 to 4) (1 / (√(4x- x^2)).dx

a) Π
b) Π / 2
c) Π / 4
d) Π / 6



Answer
Correct Answer Is : Π / 4
Solution Is :
The area of the portion lying above the ____________ is positive.

a) X-axis
b) Y-axis
c) Dependent on assumption
d) None of these



Answer
Correct Answer Is : Dependent on assumption
Solution Is :
True or false: (integration 0 to (Π / 4 )) sin^4 x.dx is 3Π.

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



Answer
Correct Answer Is : None of these
Solution Is :
Evaluate: (integration 0 to 1) (1 / (2x + 5)).dx

a) (1/2) log (7/5)
b) Log (7/5)
c) -1
d) -1



Answer
Correct Answer Is : -1
Solution Is :
Find the volume of sphere of radius 6.

a) 288 cubic units
b) 288Π cubic units
c) 88Π cubic units
d) 28Π cubic units



Answer
Correct Answer Is : 28Π cubic units
Solution Is :
If f(x) is a continuous function of x, then exists a function ɸ(x) such that _________ .

a) ɸ(x) = f(x)
b) ɸ (x) = f(x)
c) ɸ(x) = f (x)
d) ɸ (x) = f (x)



Answer
Correct Answer Is : ɸ (x) = f (x)
Solution Is :

Preparation for Exams