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0
votes
1answer
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Bounds of double integral given a circle and a line
Calculate the double integral of the area between the function $$x^2+y^2=25$$ and the line $$y=-x+5$$ in the first quadrant.
Now, I am unsure how to choose the bounds for y, I understand that the ...
6
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3answers
785 views
Definite integral: $\displaystyle\int^{4}_0 (16-x^2)^{\frac{3}{2}} dx$
The following integral can be computed using the substitution $x = 4\sin\theta~$ and then proceeding with $dx = 4\cos\theta~ d\theta~$, and evaluating the integral of $\cos^4\theta~$:
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4answers
2k views
How do you find the formula for an area of the circle through integration?
I got this question on my Maths exam today, and the Department of Education has stated it is on the syllabus, but none of the three textbooks I could get my hands mention anything about it. One ...
