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Rockstar RK
Like this :¬
int csc(4x)*cot(4x) dx
(1/sin(4x) )* cos(4x)/sin(4x) = cos(4x)/sin^2 (4x)
int cos(4x) dx/sin^2(4x)
u = sin(4x)
du = 4*cos(4x) dx
1/4 du = cos(4x) dx
then
int csc(4x)*cot(4x) dx = int 1/4u^2 du
-1/(4u) + C
-1/(4sin(4x)) + C
-csc(4x)/4 + C
-1/(4u)
-1/(4*sin(4x))
-csc(4x)/4
Like this :¬
int csc(4x)*cot(4x) dx
(1/sin(4x) )* cos(4x)/sin(4x) = cos(4x)/sin^2 (4x)
int cos(4x) dx/sin^2(4x)
u = sin(4x)
du = 4*cos(4x) dx
1/4 du = cos(4x) dx
then
int csc(4x)*cot(4x) dx = int 1/4u^2 du
-1/(4u) + C
-1/(4sin(4x)) + C
-csc(4x)/4 + C
-1/(4u)
-1/(4*sin(4x))
-csc(4x)/4
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