Explore topic-wise MCQs in Differential and Integral Calculus Questions and Answers.

This section includes 3 Mcqs, each offering curated multiple-choice questions to sharpen your Differential and Integral Calculus Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.

The arc length of y = cosh⁡x where x varies from 0 to 1 is ____________

A. \(\frac{e}{2} – \frac{1}{2e} \)
B. \(\frac{e}{2} – \frac{1}{2e} + \frac{1}{2e} \)
C. \(\frac{e}{2} – \frac{1}{2e} \)
D. 2e
Answer» B. \(\frac{e}{2} – \frac{1}{2e} + \frac{1}{2e} \)
2.

The length of curve r = eθ, θ value ranges between 0 to π is________

A. \(\sqrt{2} \)
B. \(\sqrt{2} \,(e^2π – 1) \)
C. \(\sqrt{2} \,(e^2π + 1) \)
D. \(\sqrt{2} \,(e^2π) \)
Answer» C. \(\sqrt{2} \,(e^2π + 1) \)
3.

What is the length of a circular curve when θ is in degrees and ‘r’ is the radius?

A. s = rθ
B. s = r
C. \(s = \frac{πrθ}{180} \)
D. s = πr
Answer» D. s = πr