Evaluate the following definite integral: integral subscript 0 superscript fraction numerator 3 straight pi over denominator 4 end fraction end superscript 15 tan to the power of 9 x sec squared x d x integral subscript 0 superscript fraction numerator 3 straight pi over denominator 4 end fraction end superscript 15 tan to the power of 9 x sec squared x d x equals short dash 1 over 10 integral subscript 0 superscript fraction numerator 3 straight pi over denominator 4 end fraction end superscript 15 tan to the power of 9 x sec squared x d x equals 3 over 2 integral subscript 0 superscript fraction numerator 3 straight pi over denominator 4 end fraction end superscript 15 tan to the power of 9 x sec squared x d x equals short dash 3 over 2 integral subscript 0 superscript fraction numerator 3 straight pi over denominator 4 end fraction end superscript 15 tan to the power of 9 x sec squared x d x equals 1 over 10