Let be the area of the region bounded by and , . Then is equal to ________ (round off to 1 decimal place).
IIT JAM 2023 Question 47: Integration and its applications
Answer and worked solution
Checking your account…
Plain-text version
Let E be the area of the region bounded by y=x² and y=8√x, x≥0. Then 30E is equal to (round off to 1 decimal place).
Also written as: Let E be the area of the region bounded by y=x^2 and y=8sqrt(x), x>=0. Then 30E is equal to (round off to 1 decimal place).
Integration and its applications has come up 43 times in 6 exams since 2007.
What this question tests
This question is on Applications of integration, part of Integration and its applications in Mathematics.
Using integrals for areas, surplus and recovering totals from marginal quantities.
TestStop has 10 past-paper questions on this subtopic.
Similar questions from other papers
- The area under the curve f(x)=x⁵ e^(x³) between x=1 and x=2 is
- Assume that the rate of investment is described by the function I(t) = 12 t^(1/3) and capital stock k(0) = 25. Find the time path of capital stock k.
- Let the inverse demand function be p = e^(-x/2), where x is quantity and p is price. Then, at p = 0.5, the consumer surplus is equal to (rounded off to two decimal…
- ∫ ((e^(8ln x) - e^(4ln x))/(e^(4ln x) - e^(2ln x))) dx 1. (e^(8x) - e^(4x))/(e^(4x) - e^(2x)) + C 2. x⁵/5 + x³/3 + C 3. x⁵/5 - x³/3 + C 4.
- Integrate the integral of x*sqrt(x^2 + 1) dx, for x > 0.
Question from the IIT JAM 2023 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.