1
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\int\limits_a^b {{x^3}} dx = 0$$ and $$\int\limits_a^b {{x^2}} dx = {2 \over 3}$$, then what are the values of a and b respectively ?
2
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int\limits_0^1 {x{{(1 - x)}^9}} dx$$ equal to ?
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the questions given below.
Consider the integrals
$${I_1} = \int_0^\pi {{{xdx} \over {1 + \sin x}}} $$ and
$${I_2} = \int_0^\pi {{{(\pi - x)dx} \over {1 - \sin (\pi + x)}}} $$
Consider the integrals
$${I_1} = \int_0^\pi {{{xdx} \over {1 + \sin x}}} $$ and
$${I_2} = \int_0^\pi {{{(\pi - x)dx} \over {1 - \sin (\pi + x)}}} $$
What is the value of I1 ?
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the questions given below.
Consider the integrals
$${I_1} = \int_0^\pi {{{xdx} \over {1 + \sin x}}} $$ and
$${I_2} = \int_0^\pi {{{(\pi - x)dx} \over {1 - \sin (\pi + x)}}} $$
Consider the integrals
$${I_1} = \int_0^\pi {{{xdx} \over {1 + \sin x}}} $$ and
$${I_2} = \int_0^\pi {{{(\pi - x)dx} \over {1 - \sin (\pi + x)}}} $$
What is the value of I1 + I2 ?
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