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  • NDA Exam Mathematics 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 Mathematics Integration and Differential Equations for NDA Exam student. This free online Mathematics study material for NDA Exam will help students in learning and doing practice on Integration and Differential Equations topic of NDA Exam Mathematics. The study material on Integration and Differential Equations, help NDA Exam Mathematics students to learn every aspect of Integration and Differential Equations and prepare themselves for exams by doing online test exercise for Integration and Differential Equations, as their study progresses in class. Kidsfront provide unique pattern of learning Mathematics with free online comprehensive study material and loads of NDA Exam Mathematics Integration and Differential Equations exercise prepared by the highly professionals team. Students can understand Integration and Differential Equations concept easily and consolidate their learning by doing practice test on Integration and Differential Equations regularly till they excel in Mathematics Integration and Differential Equations.


Integration and Differential Equations
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 :