What is the integral of sin(e^x)^{e^x} ?

The integral of sin(e^x)^{e^x} is sin(e^{e^{e^x}})e^{e^{e^{e^x}}}+C

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integral of sin(e^x)^{e^x}

\int sin (e^{e^{e^{x}}}) d e^{e^{e^{e^{x}}}}

sin (e^{e^{e^{x}}}) e^{e^{e^{e^{x}}}} + C

Solution steps

\int sin (e^{e^{e^{x}}}) d e^{e^{e^{e^{x}}}}

Integral of a constant:

\int a d x = a x

= sin (e^{e^{e^{x}}}) e^{e^{e^{e^{x}}}}

Add a constant to the solution

= sin (e^{e^{e^{x}}}) e^{e^{e^{e^{x}}}} + C

\int 2 - 3 cos^{2} (2 x) d x

\int x (x + 2)^{12} d x

\int \frac{cos ( x )}{sin ^{2} ( x ) + 1} d x

\int (\frac{e}{2})^{2 x} d x

\int - 3 x^{2} + 24 x - 41 d x

What is the integral of sin(e^x)^{e^x} ?
The integral of sin(e^x)^{e^x} is sin(e^{e^{e^x}})e^{e^{e^{e^x}}}+C