Integrate sin^3xcosx dx
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★★Heya★★
I = Integration of { Sin³ x × Cos x }dx
put Sin x = z
Differentiate both sides w.r.t x
Cos x dx = dz
dx = dz/Cos x
➡️
I = Integration of { z }³ dz
➡️
I = z⁴/4 + c
Where c is called constant of integration.
I = ( Sin x )⁴ /4 + c
☺️☺️
I = Integration of { Sin³ x × Cos x }dx
put Sin x = z
Differentiate both sides w.r.t x
Cos x dx = dz
dx = dz/Cos x
➡️
I = Integration of { z }³ dz
➡️
I = z⁴/4 + c
Where c is called constant of integration.
I = ( Sin x )⁴ /4 + c
☺️☺️
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