If ∫f(x)dx = φ(x), the area under f from x = a to b (f ≥ 0) is
Aφ(a) − φ(b)
Bφ(b)·φ(a)
Cφ(b) − φ(a)
Dφ(b) + φ(a)
Answer & Solution
Correct answer: C. φ(b) − φ(a)
The fundamental theorem of integral calculus gives the definite integral as the antiderivative difference.
Keep practising Application of Definite Integration
Browse all Application of Definite Integration questions for MHT-CET, or explore more Mathematics topics.
Related questions
The area between y² = 4ax and its latus rectum isIntegrating in y, the area between x = y², the Y-axis and y from 0 to 2 isBecause x² is even, its area from −1 to 1 is double that over [0, 1], namelyThe parabolas y² = 4x and x² = 4y intersect at the pointsBy symmetry, an ellipse has an area equal to how many times its first-quadrant area?Which integral gives the area enclosed by x = g(y), the Y-axis, y = c and y = d?If f(x) ≥ g(x) on [a, b], the area between the curves is the integral ofIntegrating 1/(1 + x²) over the interval from 0 to 1 gives an area of