Question

Evaluate the integral by interpreting it in terms of areas.

integral (-1 12 years ago

Answer 1

\[I=\int\limits_{-1}^{0}\left( 5+\sqrt{1-x^2} \right)dx\]
\[=\int\limits_{-1}^{0}5~dx+\int\limits_{-1}^{0}\sqrt{1-x^2}dx\]

Answer 2

Is the answer -5?

Answer 3

I found the answer as\[5+\frac{ \pi }{ 4 } \] through correctly graphing. Thanks for the help though @surjithayer

Answer 4

Yw