Evaluate the following
`int_(-pi)^(pi)(1-x^(2))sinxcos^(2)xdx`

Evaluate the following: int_(-pi/2)^(pi/2)sin^7xdx

Evaluate the following sin(pi/2-sin^(-1)(1/2))

Using properties evaluate the following definite integrals, evaluate the following: int_(-pi/2)^(pi/2) sin^2x dx

Evaluate the following integrals: int_0^(pi/4) sin2xdx

Evaluate the following integrals: int_(pi/6)^(pi/4) cosecx dx

Using properties evaluate the following definite integrals, evaluate the following: int_0^(pi/2) (2 log sinx-log sin2x) dx

Evaluate the following integrals: int_0^(pi/2) cos^2x dx

Find the following integrals. int_0^(pi/2)sqrtsinxcos^5xdx

Evaluate the following integrals: int_0^(pi/4) (2 sec^2x +x^3+2) dx