NDA · Mathematics · UPSC · 2025

Indefinite Integration — NDA Mathematics PYQs

2 questions from this chapter, asked in 1 NDA exams between 2025.

2questions

1NDA exams

2025years covered

Questions asked per year

20252 Qs

Practice questions first 2 of 2 — free

Q1MCQ2025

Answer Logic

Consider the following for the two (02) items that follow :
Let the function $y = (1 - cos x)^{- 1}$ , where $x \neq = 2 nπ$ and $n$ is an integer.

What is $\int y d x$ equal to?

(A)

- tan (\frac{x}{2}) + c

(B)

- cot (\frac{x}{2}) + c

(C)

tan (\frac{x}{2}) + c

(D)

cot (\frac{x}{2}) + c

where

c

is the constant of integration.

Q2MCQ2025

Answer Logic

What is $\int \frac{d x}{1 0 ^{x} + 1 0 ^{- x}}$ equal to?

(A)

tan^{- 1} (1 0^{x}) + c

(B)

(ln 10) tan^{- 1} (1 0^{x}) + c

(C)

\frac{1}{ln 10} tan^{- 1} (1 0^{x}) + c

(D)

ln (1 0^{x} + 1 0^{- x}) + c

Why practise Indefinite Integration PYQs?

Indefinite Integration has appeared in the 1 NDA Mathematics exam we track between 2025. UPSC examiners consistently reuse concepts and question patterns from this topic — practising its previous year questions is the most reliable way to know exactly what to expect in your exam.

Indefinite Integration — NDA Mathematics PYQs

Questions asked per year

Practice questions first 2 of 2 — free

Why practise Indefinite Integration PYQs?

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