Indefinite integration Questions

Chapter: Integral Calculus and Differential Equations | Total Available: 20 Real Questions

Question 1 of 10 Authentic UPSC NDA Question

What is

Step-by-Step Logic & Solution

Question 2 of 10 Authentic UPSC NDA Question

What is the value of a?

Step-by-Step Logic & Solution

Question 3 of 10 Authentic UPSC NDA Question

What is the value of b?

Step-by-Step Logic & Solution

Question 4 of 10 Authentic UPSC NDA Question

Direction for Questions (101-102): Consider the following for the two (02) items that follow: Let the function y = (1 – cos x)^–1, where x≠ 2nπ and n is an integer.

What is ∫ydx equal to?

Step-by-Step Logic & Solution

Question 5 of 10 Authentic UPSC NDA Question

What is

∫ₙⁿ⁺¹ (x − [x]) dx,

where [.] is the greatest integer function and n is a natural number?

Step-by-Step Logic & Solution

Question 6 of 10 Authentic UPSC NDA Question

Step-by-Step Logic & Solution

Question 7 of 10 Authentic UPSC NDA Question

Step-by-Step Logic & Solution

Question 8 of 10 Authentic UPSC NDA Question

What is the integral of f(x) = 1 + x² + x⁴ with respect to x²?

Step-by-Step Logic & Solution

Question 9 of 10 Authentic UPSC NDA Question

Step-by-Step Logic & Solution

Question 10 of 10 Authentic UPSC NDA Question

What is equal to?

Step-by-Step Logic & Solution