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∫0∞x6e3x2 dx\large \int_0^{\infty}\frac{x^6}{e^{3x^2}}\,dx∫0∞e3x2x6dx
The integral above can be written as aπb4⋅cd/2\dfrac{a\sqrt{\pi}}{b^4\cdot c^{d/2}}b4⋅cd/2aπ, where aaa, bbb, ccc, and ddd are prime numbers.
Find a+b+c+da+b+c+da+b+c+d.
This is problem for Daily challenge of Greek letters.
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