całki nieoznaczone zadania

CAŁKI NIEOZNACZONE
*• J	~Jxdx	^2- J	V3x + lt/x	^3- J	■ xdx Vx^2 -6	4-	xdx V2x^2 -1
5. J	*_dx P+i 1	6. j	x - 4 , -j=dx 2 + vx	^7- J	•4xdx X +1	8. j	• -Jxdx 1 + "(x
^9- I	^4~^x dx	10. j	xdx	,1. j	x^2dx	’^2' j	^11,2 Xrfx X
	2 4* V X		Vl + x^2		Vx^3+1
13. |	e^x .	1^4. j	4xdx	15. j	' ,/y	16. j	ln x \^—dx X
	CXX 2e^x +1		1 + Vc		xlnx
^17- J	(arcsinx)^2	18. j	cos xdx	19. j	c/x	20. j	- sin 2xdx
	VT^rx^2				(l + x^2 )arctgx
			V1 - sin^2 x				^2 + cos^2 x
21. j	dx 2cos^2(3x)	22. J	x'dx	23. j	--—---—dx sin' x + cos' x	24.	' ^SinX dx
			cos^2 X^4				1 + cosx
25. J	xdx x^4 +1	26. |	1 £ 4T — dx X"	27. j	xe~^x dx	28. j	3+2 dx X'
29. {	^1 ix	30. J	2x -dx e^x -1	31. J	\e^2x + 4x]dx	32. j
	4 COS X						(e-~ l)^!
33. J	---dx _ X . ^-x e + e	^34' 1	/ V ^dx[2e^x +1)“	35. J	■e^2x -2e^x , --—dx l + e^2x	36. J	xsin x^2dx
37. |	xsin(3x^2 +5)tór	38. J	9x^2 - 2 , —^-dx 3x' - 2x +1	59. j	—^—ln(x^2 +8 W x^2 + 8 ^v A	40. j	^3
							xln(6x^3)
^4|* f	dx	42. l	xdx	«• J	ln(l + x - In x x(l + x)	44.
	(l + Vx )Vx		V(l + x^2)^3