Application of Integrals - Class XII Mathematics Quiz
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Preview questions
1. What is the area under the curve y = x^2 from x = 0 to x = 3?
9 · 6 · 4.5 · 3
2. The area between the curves y = x^2 and y = x is found by integrating which expression?
x^2 - x · x - x^2 · x^2 + x · x^2 / x
3. To find the area of the region bounded by y = sin(x) and y = cos(x) from 0 to π/4, which integral should be evaluated?
∫(cos(x) - sin(x))dx from 0 to π/4 · ∫(sin(x) - cos(x))dx from 0 to π/4 · ∫(sin(x) + cos(x))dx from 0 to π/4 · ∫(sin(x) * cos(x))dx from 0 to π/4
4. The volume of the solid obtained by rotating the region bounded by y = x^3 and y = x^2 about the x-axis is calculated using which method?
Disk method · Washer method · Shell method · Cylindrical method
5. What is the integral used to find the area of the region between y = e^x and y = e^(2x) from x = 0 to x = 1?
∫(e^x - e^(2x))dx from 0 to 1 · ∫(e^(2x) - e^x)dx from 0 to 1 · ∫(e^x + e^(2x))dx from 0 to 1 · ∫(e^(2x) / e^x)dx from 0 to 1
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