Beta Function — Study Resources & PYQs
Beta function and simple problems based on its properties.
- Estimated study time: 30 minutes
Study resources
- Beta & Gamma Functions (solved problems) (PDF) — Concise notes with several solved problems reducing definite integrals to Beta/Gamma form. Handy for quick revision.
- Beta Function (Article) — Definition, the Beta–Gamma relation β(p,q)=Γ(p)Γ(q)/Γ(p+q), properties and trig-integral applications.
- MIT OpenCourseWare — Multivariable Calculus (Article) — MIT multivariable-calculus materials covering partial derivatives, homogeneous-function ideas, Taylor expansions, extrema and Lagrange multipliers.
Beta Function previous year questions
- (a) Prove that $B(m,n) = B(m, n+1) + B(m+1, n)$. (b) Evaluate the following integral by changing order of integration: $$\int\limits_{3}^{5} \int\limits_{0}^{4…
- (a) Evaluate the following integral: $$\int_0^1 \frac{\log x \, dx}{\sqrt{1-x^2}}$$ (b) Define beta function and prove that $$B(p,q) = \int_0^\infty \frac{y^{q…
- (a) Find the volume of the solid generated by revolving area about the x-axis, of the area included between $y^2 = x^3$ and $x^2 = y^3$. (b) Evaluate $\int_{0}…
Taught in these subjects
- ENGINEERING MATHEMATICS-I — BMAT11 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-I — BMAT11 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BMAT11 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BST1101 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BST1101 · Government College of Engineering and Technology, Jammu