Concepts Of Physics MCQ Edition [Volume 1]PhysicsPhysics and Mathematics
The relationship between the changes in a function y and an independent variable x is given by dy dx = x^2 . Determine y as a function of x .
Options
- Ay = x^2 2 + C
- By = x^3 3 + C
- Cy = x^3 3
- Dy = 2x + C
Correct answer
B. y = x^3 3 + C
Step-by-step solution
Given dy dx = x^2 Integrating both sides with respect to x : dy = x^2 dx y = x^3 3 + C where C is the constant of integration.