List of top Mathematics Questions on Some Properties of Definite Integrals asked in AP ECET Ceramic Tech

\[ \int_0^{\frac{\pi}{2}} \frac{\sin^{100}x}{\sin^{100}x+\cos^{100}x}\,dx = \]
The value of \(\displaystyle \int_0^1 x(1-x)^9\,dx\) is
\(\displaystyle \int_{-a}^{a}|x|\,dx=\)
The value of \(\displaystyle \int_0^1 x(1-x)^9\,dx\) is
\(\displaystyle \int_{-a}^{a}|x|\,dx=\)