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In this video we are going to start with vtu engineering mathematics 2.I will solve problems on evaluate the double integrals ∫∫ (x^2+y^2)dxdy , ∫∫ 1/lny dxdy and ∫∫(xy+e^y)dxdy. A double integral is an extension of a single integral to functions of two variables, typically denoted as ∫∫f(x,y). It integrates a function over a two-dimensional region R in the xy plane. Double integrals are a key concept in engineering mathematics that allows you to evaluate integrals over two-dimensional regions! Whether you're a student prepping for exams, an engineer looking to refresh your math skills, or just curious about the applications of double integrals, this video is for you. Learn to solve problems involving evaluation of double integrals in engineering mathematics 2 with confidence. 🧮 What you'll learn: The problems solved here are Evaluate 1.0 ∫1x∫√x (x^2+y^2)dxdy 2.1 ∫2 3∫4 (xy+e^y)dxdy. 3.0 ∫1 0∫x 1/lny dxdy ✅ Understanding and evaluation of Double Integrals – What they represent geometrically (volume under a surface) ✅ Setting Up the Integral – Choosing the order of integration (dx dy vs. dy dx) ✅ Evaluating Iterated Integrals – Step-by-step computation with examples ✅ Changing the Order of Integration – When and how to switch limits ✅ Working with Different Regions – Rectangular vs. non-rectangular bounds Please go through the playlists given below for Chapter wise videos on Engineering Mathematics ,Polytechnic diploma and other subjects for all universities across India and abroad. • Angle between the radius vector and tangen... ...................................................................................................................... 📍 Useful Links: My website https://mudassiracademy.com/ https://engineeringtuitionbangalore.com/ Facebook / themudassiracademy Twitter / muddasiracademy Instagram / themudassiracademy