obliczyć przez czesci kasia: ∫e⁻2x razy(sinx) ((e do potęgi minus 2x ))* sinx

Asyy: ∫e^−2x sinx dx = . f(x) = e^−2x => f'(x) = −2e^−2x g'(x) = sinx => g(x) = −cosx . = −cosxe^−2x −2 ∫ e^−2xcosx dx = . f(x) = e^−2x => f'(x) = −2e^−2x g'(x) = cosx => g(x) = sinx . = −cosxe^−2x −2(e^−2xsinx +2 ∫e^−2xsinx) = −cosxe^−2x − 2e^−2xsinx − 4∫e^−2xsinx = . ∫e^−2x sinx dx = −cosxe^−2x − 2e^−2xsinx − 4∫e^−2xsinx 5 ∫e^−2xsinx = −cosxe^−2x − 2e^−2xsinx

	−cosxe−2x − 2e−2xsinx
∫e−2xsinx =		+ C
	5