If $\int_0^1\int_y^1(x^4+cy^5)\,dx\,dy=1$, what is $c$?
I got 14, but that's the wrong answer.
2026-03-25 12:13:10.1774440790
Double Integral Regarding Area
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The question was copied wrongly onto the paper: $$\int_y^1(x^4+cy^5)\,dx=[x^5/5+cy^5x]_y^1=1/5+cy^5-y^5/5-cy^6$$ $$\int_0^1(1/5+cy^5-y^5/5-cy^6)\,dy=[y/5+cy^6/6-y^6/30-cy^7/7]_0^1=1/5+c/6-1/30-c/7=1$$ $$6+5c-1-30c/7=30$$ $$5c-30c/7=25$$ $$c-6c/7=c/7=5$$ $$c=35$$