Integral of sin²2x dx

                                        3                      5                      7                     9                     11                     15                    13                    17                   19                21          
88179    88179*cos(1)*sin(1)   29393*sin (1)*cos(1)   29393*sin (1)*cos(1)   12597*sin (1)*cos(1)   4199*sin (1)*cos(1)   4199*sin  (1)*cos(1)   2261*sin  (1)*cos(1)   323*sin  (1)*cos(1)   133*sin  (1)*cos(1)   21*sin  (1)*cos(1)   sin  (1)*cos(1)
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524288          524288                262144                 327680                 163840                 61440                 67584                  42240                   5632                  2640                 440                  22      

$$- \frac{88179 \sin{\left(1 \right)} \cos{\left(1 \right)}}{524288} - \frac{29393 \sin^{3}{\left(1 \right)} \cos{\left(1 \right)}}{262144} - \frac{29393 \sin^{5}{\left(1 \right)} \cos{\left(1 \right)}}{327680} - \frac{12597 \sin^{7}{\left(1 \right)} \cos{\left(1 \right)}}{163840} - \frac{4199 \sin^{9}{\left(1 \right)} \cos{\left(1 \right)}}{61440} - \frac{4199 \sin^{11}{\left(1 \right)} \cos{\left(1 \right)}}{67584} - \frac{323 \sin^{13}{\left(1 \right)} \cos{\left(1 \right)}}{5632} - \frac{2261 \sin^{15}{\left(1 \right)} \cos{\left(1 \right)}}{42240} - \frac{133 \sin^{17}{\left(1 \right)} \cos{\left(1 \right)}}{2640} - \frac{21 \sin^{19}{\left(1 \right)} \cos{\left(1 \right)}}{440} - \frac{\sin^{21}{\left(1 \right)} \cos{\left(1 \right)}}{22} + \frac{88179}{524288}$$

=

=

                                        3                      5                      7                     9                     11                     15                    13                    17                   19                21          
88179    88179*cos(1)*sin(1)   29393*sin (1)*cos(1)   29393*sin (1)*cos(1)   12597*sin (1)*cos(1)   4199*sin (1)*cos(1)   4199*sin  (1)*cos(1)   2261*sin  (1)*cos(1)   323*sin  (1)*cos(1)   133*sin  (1)*cos(1)   21*sin  (1)*cos(1)   sin  (1)*cos(1)
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524288          524288                262144                 327680                 163840                 61440                 67584                  42240                   5632                  2640                 440                  22      

$$- \frac{88179 \sin{\left(1 \right)} \cos{\left(1 \right)}}{524288} - \frac{29393 \sin^{3}{\left(1 \right)} \cos{\left(1 \right)}}{262144} - \frac{29393 \sin^{5}{\left(1 \right)} \cos{\left(1 \right)}}{327680} - \frac{12597 \sin^{7}{\left(1 \right)} \cos{\left(1 \right)}}{163840} - \frac{4199 \sin^{9}{\left(1 \right)} \cos{\left(1 \right)}}{61440} - \frac{4199 \sin^{11}{\left(1 \right)} \cos{\left(1 \right)}}{67584} - \frac{323 \sin^{13}{\left(1 \right)} \cos{\left(1 \right)}}{5632} - \frac{2261 \sin^{15}{\left(1 \right)} \cos{\left(1 \right)}}{42240} - \frac{133 \sin^{17}{\left(1 \right)} \cos{\left(1 \right)}}{2640} - \frac{21 \sin^{19}{\left(1 \right)} \cos{\left(1 \right)}}{440} - \frac{\sin^{21}{\left(1 \right)} \cos{\left(1 \right)}}{22} + \frac{88179}{524288}$$

88179/524288 - 88179*cos(1)*sin(1)/524288 - 29393*sin(1)^3*cos(1)/262144 - 29393*sin(1)^5*cos(1)/327680 - 12597*sin(1)^7*cos(1)/163840 - 4199*sin(1)^9*cos(1)/61440 - 4199*sin(1)^11*cos(1)/67584 - 2261*sin(1)^15*cos(1)/42240 - 323*sin(1)^13*cos(1)/5632 - 133*sin(1)^17*cos(1)/2640 - 21*sin(1)^19*cos(1)/440 - sin(1)^21*cos(1)/22