Math Problem Statement

berikan jawabannya

∫ from 0 to 2 (x^4 - 2x) dx

Solution

The result of the definite integral 02(x42x)dx\int_0^2 (x^4 - 2x) \, dx is 125\frac{12}{5}.

Do you want further details or have any questions about the solution?

Here are 5 related questions to explore:

  1. How is the antiderivative of a polynomial found?
  2. What are the general steps for evaluating a definite integral?
  3. How would the result change if the limits of integration were different?
  4. How can integrals be used to find areas under curves?
  5. How does integration apply to solving real-world problems?

Tip: Always check the boundaries of your integration to ensure correct evaluation.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Definite Integration
Polynomials

Formulas

Antiderivative of x^n is (x^(n+1))/(n+1)
Definite Integral formula: ∫ f(x) dx

Theorems

Fundamental Theorem of Calculus

Suitable Grade Level

Grades 11-12 (Advanced High School Level)