Original post by globe21
The Gamma function is defined as:
Γ(𝑚) = ∫ 𝑥^𝑚−1*𝑒^−𝑥 𝑑𝑥
limits= ∞ to 0
Use this definition and the fact that Γ(2/3) = 1.354 to evaluate the
integral:
𝐼 = ∫ 𝑥𝑒^(−𝑥^3) 𝑑𝑥
limits: ∞ to 0
Γ(𝑚) = ∫ 𝑥^𝑚−1*𝑒^−𝑥 𝑑𝑥
limits= ∞ to 0
Use this definition and the fact that Γ(2/3) = 1.354 to evaluate the
integral:
𝐼 = ∫ 𝑥𝑒^(−𝑥^3) 𝑑𝑥
limits: ∞ to 0
What might you try to make the given integral look like the one given in the definition?
Quick Reply
Related discussions
- STEP 2006 Solutions Thread
- Numerical solution
- Math Help
- Find Measure of a Non-Negative Measurable Function
- Isaac Physics Lorentz Transform 2 Help
- what Integration technique should I be using?
- Is there a rule of thumb of when to use integration by parts or substitution?
- stuck on maths distribution question
- Volumes of revolution
- Knowing which particular integral to use for ordinary differential equations
- Maths question
- A Level Maths : Common Mistakes/misconceptions
- STEP maths I, II, III 1990 solutions
- Does anyone know a sheet with all the differentiated and integrated functions?
- Alevel maths q help needed
- 2018 OCR A level exploring physics - question 25a)ii)
- intergration
- Further maths: Further Calculus
- Help urgent integration
- Intergrate
Latest
Trending
Last reply 5 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 3 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
Trending
Last reply 5 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 3 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
