1
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{{({x^{e - 1}} + {e^{x - 1}})dx} \over {{x^e} + {e^x}}}} $$ equal to ?
2
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let f(x) be an indefinite integral of sin2x.
Consider the following statements
Statement I The function f(x) satisfies f(x + $$\pi$$) = f(x) for real x.
Statement II sin2(x + $$\pi$$) = sin2x for all real x.
Which one of the following is correct in respect of the above statements?
Consider the following statements
Statement I The function f(x) satisfies f(x + $$\pi$$) = f(x) for real x.
Statement II sin2(x + $$\pi$$) = sin2x for all real x.
Which one of the following is correct in respect of the above statements?
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{{\sin }^3}x\cos x\,dx} $$ equal to ?
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{{dx} \over {{a^2}{{\sin }^2}x + {b^2}{{\cos }^2}x}}} $$ equal to ?
Questions Asked from Indefinite Integration (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
NDA Subjects
Mathematics
Algebra
Sets, Relations and FunctionsLogarithmsQuadratic Equations and InequalitiesSequence And SeriesBinomial TheoremMatricesDeterminantsPermutations and CombinationsProbabilityComplex NumbersVector AlgebraThree Dimensional GeometryStatistics
Trigonometry
Trigonometric Angles and EquationsInverse Trigonometric FunctionHeight and DistanceProperties of Triangles
Coordinate Geometry
Calculus
English
General Studies