# prob5 - Math 151 Spring 2007 Geveci Problem Set # 5 Starred...

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ing2007Gevec i Problem Set # 5 Starred Problems are due on Friday, February 22 Trigonometric and Hyperbolic Integrals and Substitutions In problems 1 - 4, determine the given inde f nite integral: 1*. Z cos 3 ( x )sin 2 ( x ) dx 2. Z sin 3 ( x )cos 4 ( x ) dx 3. Z cosh 3 ( x )sinh 2 ( x ) dx 4*. Z sinh 3 ( x )cosh 4 ( x ) dx 5*. Use the double-angle formulas to determine Z cos 2 ( x ) dx. 6*. Use integration by parts to determine Z cosh 2 ( x ) dx 7. Use integration by parts to determine Z sinh 2 ( x ) dx 8. Evaluate Z p 9 x 2 dx Hint: Z cos 2 ( u ) du = 1 2 cos ( u )sin( u )+ 1 2 u. 9*. Determine the area of the region that is bounded by the ellipse x 2 4 + y 2 9 =1 . 10*. Make use of the substitution x =4sin( u ) to express the integral Z 2 2 2 p 16 x 2 dx as an integral in terms of powers of sin ( u ) and cos( u ) .You need not evaluate the resulting

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## prob5 - Math 151 Spring 2007 Geveci Problem Set # 5 Starred...

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