By using properties of definite integrals, evaluate the integrals Let ∫π2−π2sin2xdx.
By using properties of definite integrals, evaluate the integrals ∫π20(2log sinx−log sin2x)dx.
By using properties of definite integrals, evaluate the integrals ∫2π0cos5xdx.
By using properties of definite integrals, evaluate the integrals ∫10x(1−x)ndx.