Looks like an elementary integral!

Calculus Level 5

∫ 0 π 3 cos ⁡ x + 8 + cos ⁡ 2 x sin ⁡ x x d x = π A ln ⁡ ( B ) \large{\int_0^\pi\frac{3\cos x+\sqrt{8+\cos^2 x}}{\sin x}x\ \mathrm dx = \pi^{A} \ln(B) }

If the above integral is true for positive integers A , B A,B , then evaluate B A B^A .


The answer is 54.

Kunal Gupta by Kunal Gupta , 23, India

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1 solution

Kunal Gupta
Oct 2, 2015

Go to this !

1 Helpful 0 Interesting 0 Brilliant 0 Confused

This is not fair. You can only post problems with level 5 difficulty. I was not prepared for a level 9 question.

Pi Han Goh - 5 years, 8 months ago

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@Pi Han Goh Lol! But still it ain't 400 400 points XD

Kunal Gupta - 5 years, 8 months ago

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Give it a week.

Pi Han Goh - 5 years, 8 months ago

I already saw this problem.

Surya Prakash - 5 years, 8 months ago

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