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PYQs Based Test - 06 : Multiple and Improper Integrals

Medium 10 Questions 180 min 16 marks

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180 min · 16 marks · Full test mode with leaderboard

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Question No: 1Difficulty: mediumMarks: 1mcq

The value of integral 0 \int 2 0 \int x e^{x + y} dydx is

Question No: 2Difficulty: mediumMarks: 1mcq

The double integral 0 \int a 0 \int y f (x, y) dx dy is equivalent to

Question No: 3Difficulty: mediumMarks: 1mcq

The area enclosed between the straight line y = x and the parabola y = x² in the x - y plane is____________

Question No: 4Difficulty: mediumMarks: 1mcq

Consider the shaded triangular region P shown in the figure. What is \int P \int x y d x d y ?

Question No: 5Difficulty: mediumMarks: 2short_answer

The value of the integral 0 \int π y \int π \frac{s i n x}{x} d x d y, is equal to _______.

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