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Path and Line Integrals

Find I = ∫c y2 dx + y dy, where c: x = cost, y = sint, 0 ≤ t ≤ pi.
Evaluate the integral I = ∫c y dx + x dy, where the path c is given by x = t3 + 1, y = 1/(t3 + 1) and 0 ≤ t ≤ 1.

keywords: integration, integrates, integrals, integrating, double, triple, multiple

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A path and line integral are found.

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