# Identity to use to obtain a 2 x 2 x a sin θ 1 sin2

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Chapter 7 / Exercise 1
Calculus
Stewart
Expert Verified
Identity to UseTo Obtaina2-x2x=asinθ1-sin2θ= cos2θacosθa2+x2x=atanθ1 + tan2θ= sec2θasecθx2-a2x=asecθsec2θ-1 = tan2θatanθIn order rewrite our answer in terms of the original variable x, we refer tothe appropriate right angle triangle.Note:To use these substitutions, we have to make sure thatθis between acertain range so the function isinjective.30
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Chapter 7 / Exercise 1
Calculus
Stewart
Expert Verified
Janelle Resch’s MATH 138 Notes Spring 2014
Janelle Resch’s MATH 138 Notes Spring 2014
Janelle Resch’s MATH 138 Notes Spring 2014
Janelle Resch’s MATH 138 Notes Spring 2014End of Lecture 41. Evaluate the following integrals. State the method of integration you areusing.(a)R1secxtan2xdx(b)Rx39+x2dx(b)Rx23-x2dx34
Janelle Resch’s MATH 138 Notes Spring 2014MATH 138 - Lecture 5
Janelle Resch’s MATH 138 Notes Spring 2014