Question

a). Find dy/dx for the following integral. y=Integral from 0 to cosine(x) dt/√1+ t^2 , 0<x<pi  ...

a). Find dy/dx for the following integral.

y=Integral from 0 to cosine(x) dt/√1+ t^2 , 0<x<pi  

b). Find dy/dx for tthe following integral

y=Integral from 0 to sine^-1 (x) cosine t dt

Homework Answers

Answer #1

a)

we have

here,

now,

by the fundamental theorem,

we can say that

b)

we have

here,

now,

by the fundamental theorem,

we can say that

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