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A definite double integral is given below, then, evaluation of the double integral over the region R will be __
Where R is the region on X - Y plane for the function given as,   and r ∈ [0, 5] 
    Correct answer is '1250'. Can you explain this answer?
    Most Upvoted Answer
    A definite double integral is given below, then, evaluation of the dou...
    Concept:
    Let’s change the Cartesian coordinate limits into cylindrical planar polar coordinate,
    ⇒ x = r cosθ; y = r sinθ
    Replace dx.dy = rdθ .dr
    Calculation:
    Given:
    θ → 0 to π; r → 0 to 5
    Then the limit of the double integration will be,
    ⇒ I = - [cos π – cos 0] × 625
    I = 1250
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    A definite double integral is given below, then, evaluation of the double integral over the region R will be __Where R is the region on X - Y plane for the function given as,and r ∈ [0, 5]Correct answer is '1250'. Can you explain this answer?
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