SOLUTION: lease help me solve this equation: Differentiate the following functions. DO NOT SIMPLIFY. {{{ int( cos(u^2+1), du, sin y, sqrt(y) ) }}}

Algebra ->  Test -> SOLUTION: lease help me solve this equation: Differentiate the following functions. DO NOT SIMPLIFY. {{{ int( cos(u^2+1), du, sin y, sqrt(y) ) }}}      Log On


   



Question 344596: lease help me solve this equation: Differentiate the following functions. DO NOT SIMPLIFY.
+int%28+cos%28u%5E2%2B1%29%2C+du%2C+sin+y%2C+sqrt%28y%29+%29+

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Apply the Leibniz rule (see http://en.wikipedia.org/wiki/Differentiation_under_the_integral_sign#Higher_dimensions)
Follow the Example 6 discussion.
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The third term is not present since
d/dx(cos(u^2+1))=0
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a%28y%29=sin%28y%29
da%2Fdy=cos%28y%29
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b%28y%29=sqrt%28y%29
db%2Fdy=1%2F%282%2Asqrt%28y%29%29
Substituting,