Surface Area of a revolution












2












$begingroup$


So I had a question involving Surface Area.




Find the surface area generated by revolving the curve $x = y^3$ about the $y$-axis for $0 leq y leq sqrt[4]{11}$.



(a) $23piquad$ (b) $37piquad$ (c) $46piquad$ (d) $62piquad$ (e) $73piquad$ (f) None of these




This was my Attempt but I got stuck with trying to integrate the stuff under the radical.



enter image description here










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$endgroup$

















    2












    $begingroup$


    So I had a question involving Surface Area.




    Find the surface area generated by revolving the curve $x = y^3$ about the $y$-axis for $0 leq y leq sqrt[4]{11}$.



    (a) $23piquad$ (b) $37piquad$ (c) $46piquad$ (d) $62piquad$ (e) $73piquad$ (f) None of these




    This was my Attempt but I got stuck with trying to integrate the stuff under the radical.



    enter image description here










    share|cite|improve this question











    $endgroup$















      2












      2








      2





      $begingroup$


      So I had a question involving Surface Area.




      Find the surface area generated by revolving the curve $x = y^3$ about the $y$-axis for $0 leq y leq sqrt[4]{11}$.



      (a) $23piquad$ (b) $37piquad$ (c) $46piquad$ (d) $62piquad$ (e) $73piquad$ (f) None of these




      This was my Attempt but I got stuck with trying to integrate the stuff under the radical.



      enter image description here










      share|cite|improve this question











      $endgroup$




      So I had a question involving Surface Area.




      Find the surface area generated by revolving the curve $x = y^3$ about the $y$-axis for $0 leq y leq sqrt[4]{11}$.



      (a) $23piquad$ (b) $37piquad$ (c) $46piquad$ (d) $62piquad$ (e) $73piquad$ (f) None of these




      This was my Attempt but I got stuck with trying to integrate the stuff under the radical.



      enter image description here







      calculus integration area surfaces






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      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Dec 17 '18 at 1:49







      krauser126

















      asked Dec 17 '18 at 1:40









      krauser126krauser126

      475




      475






















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          $begingroup$

          Hint: $int y^3(9(y^4+frac19))^{frac12}operatorname dy=frac32(y^4+frac19)^{frac 32}+C$.






          share|cite|improve this answer









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            $begingroup$

            Hint: $int y^3(9(y^4+frac19))^{frac12}operatorname dy=frac32(y^4+frac19)^{frac 32}+C$.






            share|cite|improve this answer









            $endgroup$


















              1












              $begingroup$

              Hint: $int y^3(9(y^4+frac19))^{frac12}operatorname dy=frac32(y^4+frac19)^{frac 32}+C$.






              share|cite|improve this answer









              $endgroup$
















                1












                1








                1





                $begingroup$

                Hint: $int y^3(9(y^4+frac19))^{frac12}operatorname dy=frac32(y^4+frac19)^{frac 32}+C$.






                share|cite|improve this answer









                $endgroup$



                Hint: $int y^3(9(y^4+frac19))^{frac12}operatorname dy=frac32(y^4+frac19)^{frac 32}+C$.







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered Dec 17 '18 at 1:53









                Chris CusterChris Custer

                14.2k3827




                14.2k3827






























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