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Unformatted text preview: expressing tangent in terms of sine and cosine. Now you can use usubstitution to solve the integral. A lot of mathematicians do not like negative signs in the answers to their integrals. Notice that by using a log property you can move the negative into the exponent. Then you can replace the cosine term with a secant. A similar method can be used to find the integral of cotangent. Expressing secant in terms of cosine doesnt leave a term for the du in a usubstitution. Instead, try multiplying secant by some expression equal to one. This integral might look more complicated, but it can be evaluated by usubstitution. The numerator is exactly the derivative of the denominator. Dont forget to express your final answer in terms of x and not u . Notice that evaluating trig integrals involves knowing a few tricks. The more of these tricks you see, the more integrals you can solve....
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 Spring '10
 hyon

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