Practice Problems on Power Rule of Integration
P1: Find the integral of the function f(x) = x2 + 1/x2.
P2: Find the integral of the curve represented by the function, f(x) = √x.
P3: If p(x) = 3x2+4x+5, find an expression for ∫p(x)dx.
P4: Integrate the function f(x) = x1/3 within limits as x = 0 and x = 1.
P5: Evaluate ∫(1/√x)dx.
Power Rule of Integration
Power Rule of Integration is a fundamental law for finding the integrals of algebraic functions. It is used to find the integral of a variable raised to some constant power which may be positive, negative or zero except being -1.
In this article, we will discuss the power rule of integration, its mathematical representation, its applications, definite integration using the power rule, sample problems, practice problems and frequently asked questions related to the power rule of integration.
Table of Content
- What is Integration?
- What is Power Rule of Integration
- Power Rule of Integration Derivation
- Applications of Power Rule
- Definite Integrals Using Power Rule