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Antiderivative and integral: ready solutions

This section contains solutions to problems on finding antiderivatives and evaluating indefinite integrals. Each solution includes the condition, step-by-step explanation, and the answer.

Problems

  • Antiderivative and integral
  • Definite integral
  • Improper integrals
  • Double integrals
  • Triple integrals
  • Line integrals
  • Surface integrals
  • Elements of field theory
  1. Antiderivative of f(x) = x² sin x³.
  2. Antiderivative of f(x) = cos³ x.
  3. Antiderivative of f(x) = x · e^(3x).