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Integrals of Trig Functions definitions

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  • Integral
    A mathematical operation that reverses differentiation, often used to find areas under curves or antiderivatives.
  • Trigonometric Function
    A function involving angles, such as sine, cosine, tangent, secant, cosecant, and cotangent.
  • Power Rule
    A method for integrating or differentiating expressions where variables are raised to a constant exponent.
  • Sum and Difference Rule
    A property allowing the integration of a sum or difference of functions by integrating each term separately.
  • Constant Multiple Rule
    A property that allows constants to be factored out of integrals for easier computation.
  • Derivative
    A measure of how a function changes as its input changes, foundational for finding integrals by reversal.
  • Antiderivative
    A function whose derivative is the original function, found through integration.
  • Secant
    A trigonometric function equal to the reciprocal of cosine, often appearing in integrals with tangent.
  • Cosecant
    A trigonometric function equal to the reciprocal of sine, commonly paired with cotangent in integrals.
  • Cotangent
    A trigonometric function equal to the reciprocal of tangent, often found in integrals with cosecant squared.
  • Constant of Integration
    An arbitrary constant added to indefinite integrals, representing all possible antiderivatives.
  • Sine
    A fundamental trigonometric function, whose integral yields negative cosine plus a constant.
  • Cosine
    A fundamental trigonometric function, whose integral yields sine plus a constant.
  • Tangent
    A trigonometric function equal to sine divided by cosine, with an integral related to secant squared.
  • Reverse Derivative Logic
    A strategy for integration by recalling which function's derivative produces the given trigonometric expression.