CAŁKI I POCHODNE WZORY

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Question		Answer
(C)’ start learning		0
(x^n)’ start learning		nx^(n-1)
(x)’ start learning		1
(1/x)’ start learning		-(1/x^2)
(x^(1/2))’ start learning		1/(2x^(1/2))
(a^x)’ start learning		a^x lna
(e^x)’ start learning		e^x
(log_a x)’ start learning		1/(xlna)
(lnx)’ start learning		1/x
(sinx)’ start learning		cosx
(cosx)’ start learning		-sinx
(tgx)’ start learning		1/cos^2(x)
(ctgx)’ start learning		-1/sin^2(x)
(arcsinx)’ start learning		1/(sqrt(1-x^2))
(arccosx)’ start learning		-1/(sqrt(1-x^2))
(arctgx)’ start learning		1/(x^2+1)
(arcctgx)’ start learning		-1/(x^2+1)
∫dx start learning		x+C
∫x^ndx start learning		x^(n+1)/(n+1)+C
∫xdx start learning		1/2*x^2+C
∫1/xdx start learning		ln\|x\|+C
∫a^xdx start learning		a^x/lna+C

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