Evaluate the following definite integral: integral subscript 0 superscript straight pi over 6 end superscript 12 sin cubed x cos x d x a.) integral subscript 0 superscript straight pi over 6 end superscript 12 sin cubed x cos x d x equals short dash straight pi to the power of 4 over 432 b.) integral subscript 0 superscript straight pi over 6 end superscript 12 sin cubed x cos x d x equals 3 over 16 c.) integral subscript 0 superscript straight pi over 6 end superscript 12 sin cubed x cos x d x equals short dash 3 over 16 d.) integral subscript 0 superscript straight pi over 6 end superscript 12 sin cubed x cos x d x equals straight pi to the power of 4 over 432