alleryThe two ways of introducing the definite integral are limit of a sum and:
ASeries expansion
BAnti derivative
CSecond derivative
DTangent slope
Answer & Solution
Correct answer: B. Anti derivative
1. One route adds up thin strips.
2. The other uses a function whose derivative is f.
3. That second route is the anti derivative.
_Source: syllabus Mathematics Part II, Chapter 7, Integrals._
Keep practising Integrals
Browse all Integrals questions for CBSE Class 12 (Commerce), or explore more Mathematics topics.
Related questions
To turn f(x) into f(a + b - x) in a definite integral, substitute:Find integral of sin x/(sin x + cos x) from 0 to pi/2.Using the 2a property, the integral of sin x from 0 to 2*pi is:Integral of cos x over [-pi/2, pi/2]:For even f, the integral over [-a, a] is twice the integral over:The integral of any odd function over [-a, a] is:Evaluate the integral over [0, 1] of x e^(x^2).Integral of 2x/(1 + x^2) over [0, 1] equals: