Integral Trigonometrik.pptx
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INTEGRAL TRIGONOMETRIK
Kalkulus 2
RUMUS TRIGONOMETRI
CONTOH 1.
∫
Cos4xdx = 1 Sin4x+c 4
2. x⋅Sinxdx u = x → du =1dx dv = Sinx → v = sin x = Cosx
∫ x⋅sinxdx = −x⋅cos x−∫(−cos x)⋅1dx =
∫
3. x⋅Cosxdx u = x → du =1dx dv = Cos x → v = cos x =Sin x
∫ ∫
∫
x⋅Cosxdx = x⋅sinx− sinx⋅1dx = xsinx−(−cos x)+C = xsinx+cos x+C
INTEGRAL TRIGONOMETRIK
Kalkulus 2
RUMUS TRIGONOMETRI
CONTOH 1.
∫
Cos4xdx = 1 Sin4x+c 4
2. x⋅Sinxdx u = x → du =1dx dv = Sinx → v = sin x = Cosx
∫ x⋅sinxdx = −x⋅cos x−∫(−cos x)⋅1dx =
∫
3. x⋅Cosxdx u = x → du =1dx dv = Cos x → v = cos x =Sin x
∫ ∫
∫
x⋅Cosxdx = x⋅sinx− sinx⋅1dx = xsinx−(−cos x)+C = xsinx+cos x+C
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