Unformatted text preview: After you substitute u , make sure that there are nothing remains in terms of x . Recall that the derivative of sin x is –cos x + C. Make sure to replace u with its expression in terms of x . You can check that your answer is correct by taking its derivative. Here is another composite function. Let u be the inside expression. When you find du , you will notice that there is no multiple of 4 in the integrand, just dx . Since 4 is just a constant multiple, solve for dx and substitute that expression into the integrand. You can move 1/4 outside the integrand since it is a constant multiple. After you integrate, make sure to replace u with its expression in terms of x . Take the derivative of your answer to make sure it is correct....
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- Spring '10
- Derivative, Logarithm, composite function