- #1
s883
- 5
- 0
Homework Statement
π/2
d x/
∫ (x2 - 2x cosx + 1)
0
п
∫ sin x. ex^2dx
-п
Solve Definite Integral: π/2 to 0
- Thread starter s883
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SUMMARY
The forum discussion focuses on solving definite integrals, specifically the integrals from π/2 to 0 of the function (x² - 2x cos(x) + 1) and from -π to π of sin(x) * e^(x²) dx. Participants suggest using integration by parts for the second integral, noting that it involves two functions multiplied together. Additionally, they highlight that the first integral can be approached using integration by parts for the term ∫ x cos(x) dx, emphasizing the importance of recognizing even functions in the integrand.
PREREQUISITES- Understanding of definite integrals and their properties
- Familiarity with integration techniques, specifically integration by parts
- Knowledge of trigonometric functions and their integrals
- Basic concepts of even and odd functions in calculus
- Practice solving integrals using integration by parts
- Explore the properties of even and odd functions in calculus
- Learn advanced techniques for integration, such as substitution methods
- Investigate the application of definite integrals in real-world problems
Students studying calculus, mathematics educators, and anyone looking to improve their skills in solving definite integrals and applying integration techniques.