Definite integrals are integrals which have limits (upper and lower) and can be evaluated to give a definite answer. \[= \left[ {\frac{{ - 1}}{3}\cos (3x + \frac{\pi ...

P.S.—I thank Mr. C. F. Merchant for pointing out in NATURE of June 3 that the four-ordinate rule is already in use, and for giving a reference to Tchebycheff's rules, with which I was unacquainted.

To calculate the area between a curve and the \(x\)-axis we must evaluate using definite integrals. First, we need to find out where the curve cuts the \(x\)-axis. Remember, a curve cuts the ...

Maths Integrals Formulas: The CBSE Class 12 mathematics course is heavily focused on calculus, and Chapter 7 Integrals is one of the lengthiest and most important chapters on the topic. Integrals is ...

NCERT Solutions for Class 12 Maths Chapter 7 Integrals: With CBSE Class 12 Board Exam 2025 approaching fast, students must be looking for the accurate NCERT solutions. In this article, we have ...