Re: [積分] 幾題積分
※ 引述《LuisSantos (^______^)》之銘言：
: ※ 引述《walolo (有緣無份)》之銘言：
: : 3.∫θ√1-cosθ dθ
: ∫(θ)(√(1 - cosθ)) dθ
: = ∫(θ)(√(1 - (1 - (2)((sin(θ/2))^2)))) dθ
: = ∫(θ)(√((2)((sin(θ/2))^2))) dθ
: = ∫(θ)(√2)(sin(θ/2)) dθ
: = (√2)(∫(θ)(sin(θ/2)) dθ)
這一行怎麼轉到下一行的...有點看不太懂@.@
: = (√2)((-2)(θ)(cos(θ/2)) - ∫(-2)(cos(θ/2)) dθ)
: = (√2)((-2)(θ)(cos(θ/2)) - (-4)(sin(θ/2))) + c
: = (√2)((-2θ)(cos(θ/2)) + (4)(sin(θ/2))) + c
: = (-2)(√2)(θ)(cos(θ/2)) + (4√2)(sin(θ/2)) + c
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03/06 15:48, , 1F
03/06 15:48, 1F
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