Learn Calculus Integrals, Quantitative Aptitude Practice Calculus Integrals Exercise, Free Online Integrals Lessons

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 :

❏Computer Practice +

❏English Practice +

❏General Knowledge Practice +

❏Logical Reasoning Practice +

❏Quantitative Aptitude Practice +

Quantitative Aptitude Practice Calculus Study Material

Integrals

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

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 ___________ .

Correct Answer Is : All of these

Solution Is :

If ∫f(x)dx = ɸ(x) + c , then (integration a to b)f(x)dx =

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.

Correct Answer Is : MAYBE

Solution Is :

Evaluate: (integration 0 to 4) (1 / (√(4x- x^2)).dx

Correct Answer Is : Π / 4

Solution Is :

The area of the portion lying above the ____________ is positive.

Correct Answer Is : Dependent on assumption

Solution Is :

True or false: (integration 0 to (Π / 4 )) sin^4 x.dx is 3Π.

Correct Answer Is : None of these

Solution Is :

Evaluate: (integration 0 to 1) (1 / (2x + 5)).dx

Correct Answer Is : -1

Solution Is :

Find the volume of sphere of radius 6.

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 _________ .

Correct Answer Is : ɸ (x) = f (x)

Solution Is :

Kids Learning

Academics

Competitive Exams

Govt. Jobs Exams