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In 2024, NTA reduced JEE Main syllabus to reduce pressure and stress among students and to meet the same syllabus structure as that of the NCERT revised books. In the latest 2025 Information brochure, the syllabus remained same as of 2024 but NTA reduced the number of question in Section - B of Paper - 1 (B.E/B-Tech) from 5 out 10 questions (to ...
A candidate should have appeared for the Class XII (or equivalent) examination for the first time in either 2024 or 2025 with Physics, Chemistry, and Mathematics as compulsory subjects with a minimum of 75% aggregate marks or in the top 20 percentile in their 10+2 Board Examination conducted by their respective board for General,EWS and OBC ...
JEE-Main, unlike JEE-Advanced, has a fixed exam structure and is not subject to change every year. Up until 2018, the JEE-Main Paper-I was three hours long and consisted of thirty questions in each of the three subjects (physics, chemistry and maths). 4 marks are awarded for correct answers and 1 mark is deducted for incorrect answers.
The slope field of () = +, showing three of the infinitely many solutions that can be produced by varying the arbitrary constant c.. In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral [Note 1] of a continuous function f is a differentiable function F whose derivative is equal to the original function f.
In mathematics, a nonelementary antiderivative of a given elementary function is an antiderivative (or indefinite integral) that is, itself, not an elementary function. [1] A theorem by Liouville in 1835 provided the first proof that nonelementary antiderivatives exist. [2]
the integral is called an indefinite integral, which represents a class of functions (the antiderivative) whose derivative is the integrand. [19] The fundamental theorem of calculus relates the evaluation of definite integrals to indefinite integrals. There are several extensions of the notation for integrals to encompass integration on ...
In integral calculus, integration by reduction formulae is a method relying on recurrence relations. It is used when an expression containing an integer parameter , usually in the form of powers of elementary functions, or products of transcendental functions and polynomials of arbitrary degree , can't be integrated directly.
A discussion of the basis for reversing the order of integration is found in the book Fourier Analysis by T.W. Körner. [12] He introduces his discussion with an example where interchange of integration leads to two different answers because the conditions of Theorem II below are not satisfied. Here is the example: