Double Integrals — Study Resources & PYQs
Double integration and simple problems involving double integrals.
- Estimated study time: 30 minutes
Study resources
- Definite Integrals & Properties (Article) — Free IIT video+notes course covering definite integration, multiple integrals and related calculus rigorously.
- Double Integrals (Article) — How to set up and evaluate double integrals over a region, order of integration and step-by-step solved problems.
- Taylor's & Maclaurin's Series (Two Variables) (Article) — Authoritative reference for Taylor's theorem in two variables, maxima/minima tests and multiple integrals. Use for the precise two-variable formula.
- Maxima & Minima of Two Variables + Lagrange Multipliers (Article) — Direct links to GP Sir's videos on maxima-minima of f(x,y) and Lagrange's method of undetermined multipliers, plus partial differentiation and multiple integrals.
- MIT OpenCourseWare — Multivariable Calculus (Article) — MIT multivariable-calculus materials covering partial derivatives, homogeneous-function ideas, Taylor expansions, extrema and Lagrange multipliers.
- MIT OpenCourseWare — Linear Algebra (Article) — MIT linear-algebra materials covering matrices, rank, elementary operations, eigenvalues/eigenvectors, Cayley-Hamilton-related concepts and diagonalization.
Double Integrals previous year questions
- (a) The area between the curves $y^2 = 4ax$ and $x^2 = 4ay$ revolves about the $x$-axis. Find the volume of the solid thus generated. (b) Evaluate $\iint_R (x^…
- (a) Find the length of the loop of the curve: $3ay^2 = x(x - a)^2$. (b) Evaluate $\iint_R (x^2 + y^2) dxdy$ over the annular region $R$ lying between $x^2 + y^…
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