Solve ∫(−5sec^2(x) 4csc^2(x))dx

Evaluate

S (- 5 sec^{2} (x) \times 4 csc^{2} (x)) d x

Rewrite the expression

S (- 5) sec^{2} (x) \times 4 csc^{2} (x) \times d x

Rewrite the expression

- S \times 5 sec^{2} (x) \times 4 csc^{2} (x) \times d x

Multiply the terms

- S \times 20 sec^{2} (x) csc^{2} (x) \times d x

Use the commutative property to reorder the terms

- 20 S sec^{2} (x) csc^{2} (x) \times d x

Multiply the terms

- 20 S (sec (x) csc (x))^{2} d x

Transform the expression

More Steps

- 20 S (cos (x) sin (x))^{- 2} d x

Rewrite the expression

- 20 S (\frac{sin ( 2 x )}{2})^{- 2} d x

Solution

- \frac{80 S d x}{sin ^{2} ( 2 x )}

Simplify the expression