Find the integral of (sinxcos^2x) dx
To find the Integral of (sinxcos^2x) dx, we must first use our knowledge of integration and differentiation of simple trigonometric functions. Such as Sinx and Cosx. Combined with our knowledge of integrating functions of functions such (1+x)^2 or (sinx)^2. By working backwards and thinking about what we would have to differentiate to get close to sinxcos^2x. We can determine that cos^3x would give us -3sinxcos^2x. Thus the integral of (sinxcos^2x) dx is -1/3cos^3x.
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