Is x^3sin^4x an odd or even function?

Answer 1

Lets see by replacing x with (-x)

(-x)^3*(sin(-x))⁴

=-x³(-sinx)⁴

=-x³(-1*sinx)⁴

=-x³(-1)⁴*(sinx)⁴

=-x³*1*(sinx)⁴

=-x³(sinx)⁴

=-x³(sin⁴x)

-[x³(sin⁴x)]

-(original expression) which means the original expression is odd