\int _ { 0 } ^ { \frac { \pi } { 4 } } - \sin ^ { 2 } t d t + 2 ( 4 \cos ^ { 2 } t + 16 \cos t + 17 ) \sin t d t
Differentiate w.r.t. d
\frac{\mathrm{d}}{\mathrm{d}d}(\int _{0}^{\frac{\pi }{4}}-\left(\sin(dt^{2})\right)^{2}+2\sin(t)\left(4\left(\cos(t)\right)^{2}+16\cos(t)+17\right)\mathrm{d}t)
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