გადაწყვიტეთ ∫ _{pi/4}^frac{pi{2}}cos(2θleft(cos(θ)right)^2/left(sin(θ)right)^4) wrt x

$$\int_{ \frac{ \pi }{ 4 } }^{ \frac{ \pi }{ 2 } } \cos ( 2 \theta \frac{ { \left( \cos ( \theta ) \right) }^{ 2 } }{ { \left( \sin ( \theta ) \right) }^{ 4 } } ) d x$$

დიფერენცირება θ-ის მიმართ

$$-\frac{\pi \left(-2\theta \sin(\theta )\sin(2\theta )-4\theta \cos(\theta )\cos(2\theta )+\sin(\theta )\cos(2\theta )-4\theta \cos(\theta )+\sin(\theta )\right)\sin(\frac{2\theta \left(\cot(\theta )\right)^{2}}{\left(\sin(\theta )\right)^{2}})}{4\left(\sin(\theta )\right)^{5}}$$