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Other major cities are Worcester, Springfield and Cambridge. The state's capital and most populous city, as well as its cultural and financial center, is Boston. Massachusetts is the sixth-smallest state by land area with over seven million residents, it is the most populous state in New England, the 16th-most-populous in the country, and the third-most densely populated, after New Jersey and Rhode Island. A part of the New England region, it borders the Atlantic Ocean and Gulf of Maine to its east, Connecticut and Rhode Island to its south, New Hampshire and Vermont to its north, and New York to its west. As well as Sample papers.Massachusetts ( / ˌ m æ s ə ˈ tʃ uː s ɪ t s/ ( listen) MASS-ə- CHOO-sits, /- z ɪ t s/ -⁠zits Massachusett: Muhsachuweesut ), officially the Commonwealth of Massachusetts, is a state in the Northeast of the United States of America. Important Questions are marked as Important, you can also check all Important Questions for Class 12 Maths. To check all formulas of Integrals used in this chapter, check Integration Formulas

Definite Integration - Solving definite integration using methods of indefinite integration, and using properties of definite integration.

Integration as limit as a sum - We use basic definition of integration, Integration = Area to form limit as a sum formula and then solve its questions.

Integration by special formulas - We use special formulas mentioned in our Integral Table to solve questions.

Integration by partial fractions - We use partial fractions to solve the integration.

By parts integration of e x - We use integration formula of e x (f(x) + f'(x)) to solve questions.

Integration by parts - We do integration by using by parts formula.

Integration by substitution - Where we substitute functions as some other functions and integrate using the formulas we know - x n, lnx, e x to find the integration.

Integration using Trigonometry Formulas - where we use trigonometry formulas like cos 2x, sin 2 x, sin 3x, Inverse formulas and make the function easier to integrate.Using derivative rules, finding integration Integration as anti-derivative - Basic definition of integration.Download formulas and practice questions as well. Solutions of all questions, examples and supplementary questions explained here. Get NCERT Solutions of Class 12 Integration, Chapter 7 of the NCERT book.