alleryThe Fundamental Theorem of Calculus is introduced through a function called the:
AArea function
BSlope function
CSpeed function
DRoot function
Answer & Solution
Correct answer: A. Area function
1. The theorem is approached by defining a helper function.
2. That function measures the area from a up to a variable x.
3. It is the area function.
_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: