Playing With Theta

Calculus Level 3

Let \(A(\theta )=\int { sin(\theta +\sin { \theta ){ e }^{ \cos { \theta } } } d\theta }\)

and \(B(\theta )=\int { cos(\theta +\sin { \theta ){ e }^{ \cos { \theta } } } d\theta }\)

Where \(A(0)=-1\) and \(B(0)=0\)

Then find the value of the expression \(\frac { \ln { \left\{ { \left( A\left( \theta \right) \right) }^{ 2 }+{ \left( B\left( \theta \right) \right) }^{ 2 } \right\} } }{ \cos { \theta } }\)

×

Problem Loading...

Note Loading...

Set Loading...