Applied Calculus: UNIT III: Integral Calculus
Trigonometric substitution
Integral Calculus
Explanation, Formula, Equation, Example and Solved Problems - Integral Calculus: Trigonometric substitution
TRIGONOMETRIC
SUBSTITUTION
The following table
gives the trigonometric substitutions for some expressions with trigonometric
identities to evaluate the given integral.
The condition on θ is
imposed to ensure that the function that defines the substitution is one to
one. Hyperbolic functions may also be used as substitution to evaluate the
given integral.
Example
71. Evaluate ∫ 1 / [x2√(x2+4)] dx
Solution:
EXERCISE
Evaluate the following
Applied Calculus: UNIT III: Integral Calculus : Tag: Applied Calculus : Integral Calculus - Trigonometric substitution
Applied Calculus: UNIT III: Integral Calculus
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Applied Calculus
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