Question

What is $\int {\sin }^{2}xdx+\int {\cos }^{2}xdx$ equal to?

• A. $x+c$
• B. $\frac{x^2}{2}+c$
• C. $x^2+c$
• D. None of the above
  where $c$ is an arbitrary constant

Answer 1

The correct option is A $x+c$

$\int {\sin }^{2}xdx+\int {\cos }^{2}xdx$

$=\int ({\sin }^{2}x+{\cos }^{2}x)dx$

$=\int 1dx=x+c$

Hence, A is correct.