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Pandora
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(Q1) Evaluate:
? [0 to 1] ? [0 to x^2] ?( 1 - x^3) dy dx
(Q2) Set up
? ? [R] (x^2 + 2y) dA
Noting R is the region enclosed by the parabolas:
y= x^2 - 1
y = 1 - x^2
(Q2) Reverse the order of integration and evaluate:
? [0 to ?] ? [y to ?] ( sinx/x) dx dy
I can't seem to solve these practice questions, keep getting a different answer to the back of the book. Any guidance/step by step explanations needed especially hints/tricks in setting up region enclosed to integrate over and also how to reverse the order of integration.
Thank you in advance.
? [0 to 1] ? [0 to x^2] ?( 1 - x^3) dy dx
(Q2) Set up
? ? [R] (x^2 + 2y) dA
Noting R is the region enclosed by the parabolas:
y= x^2 - 1
y = 1 - x^2
(Q2) Reverse the order of integration and evaluate:
? [0 to ?] ? [y to ?] ( sinx/x) dx dy
I can't seem to solve these practice questions, keep getting a different answer to the back of the book. Any guidance/step by step explanations needed especially hints/tricks in setting up region enclosed to integrate over and also how to reverse the order of integration.
Thank you in advance.