1
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Direction : Consider the following for the items that follow :
Let f(t) = $\rm \ln(t+\sqrt{1+t^2})$ and g(t) = tan(f(t)).
What is $\rm \int_{-\pi}^\pi g(t)dt$ equal to
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Direction : Consider the following for the items that follow :
Let $\rm I=\int_0^{\pi/2}\frac{f(x)}{g(x)}dx$, where f(x) = sin x and g(x) = sin x + cos x + 1
What is $\rm \int_0^{\pi/2}\frac{d(x)}{g(x)}$ equal to
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Direction : Consider the following for the items that follow :
Let $\rm I=\int_0^{\pi/2}\frac{f(x)}{g(x)}dx$, where f(x) = sin x and g(x) = sin x + cos x + 1
What is I equal to?
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
What is $\int^{1}_{-1}(3\sin x-\sin 3x)\cos^2 xdx$ equal to?
Questions Asked from Definite Integration (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
NDA Subjects
Mathematics
Algebra
Sets, Relations and Functions Logarithms Quadratic Equations and Inequalities Sequence And Series Binomial Theorem Matrices Determinants Permutations and Combinations Probability Complex Numbers Vector Algebra Three Dimensional Geometry Statistics
Trigonometry
Trigonometric Angles and Equations Inverse Trigonometric Function Height and Distance Properties of Triangles
Coordinate Geometry
Calculus
English
General Studies