Mathematics Exam  >  Mathematics Questions  >  dxdy isa)zerob)πc)π/2d)2Correct answer ... Start Learning for Free
dxdy is

  • a)
    zero

  • b)
    π

  • c)
    π/2

  • d)
    2

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
dxdy isa)zerob)πc)π/2d)2Correct answer is option 'D'. Can you ex...
Step 1: Simplify by Changing Variables
To simplify this integral, note that we can use the property of separable integrals by changing variables. However, for clarity, let’s proceed with evaluating the inner integral directly.
Step 2: Evaluate the Inner Integral with Respect to x

Step 3: Integrate with Respect to y

Conclusion: The value of the integral is: 2.
So, the correct answer is: D: 2.
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Most Upvoted Answer
dxdy isa)zerob)πc)π/2d)2Correct answer is option 'D'. Can you ex...
 sin (x+y) dxdy
Firstly integrating w.r.t. x, we get

Now , integrating w.r.t. y, we get,
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