Integral meme: swapping x for √x in the numerator turns a delight into despair

miniapeur · x · 2026-10-12

A classic two-panel math meme: the kid celebrates at ∫ x/(x²+1) dx, which falls out instantly as arctan(x), but facepalms at ∫ √x/(x²+1) dx, which requires the substitution t = √x. A perfect illustration of how nearly identical integrals can differ wildly in difficulty.

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