Question: Modern geometry question Set up an integral to find the length of the segment from (0,0) to (2,4) with respect to the Riemannian metric ds

Modern geometry question

Set up an integral to find the length of the segment from (0,0) to (2,4) with respect to the Riemannian metric ds 2=(x2+ 1)dx2+ (3y +6)dy. You do not need to evaluate the integral- your answer should be left as a definite integral

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