1

15.79. 7 = ^x*(9(ln|x])³-18(ln|x|)²+241n|x|-16).

15.80. 7 = -jp(ln|x|+£).

15.81. 7 = 2 7*(lnx)² — 8^/xlnx + 16, x^tt 4 ^ /    1 \

15.82. x>0, 7 = ±x⁴((lnx)²-|lnx+4).    15.83.    ; 7 = —>ⁿ    )

DO ROZDZIAŁU XVI 16.26. 7 = -‘(2x + l)⁴(¹).

16.27.

-^Y ^ §; i—

-i

9(3x-2)³

16.28.    x*3, x^-2; 7 = ln|x-3| + 2łn|x + 2|.

7 = 31n|x-5|-21n|x + l|. 7 = 2In|x — 3| +41n|x —.

16.29.    7 = ln|x² —3x + 3|.    16.30.

16.31. / = 51n|jr+-l| — 41n(jr+11.    16.32.

16.33.    x#l, x^f; / = ln|2jc² — 5jc + 3| .

16.34.    x#2, x^-5; 7 = 3 ln|x-2|+21n|x + 5|.

16.35. / = ^ln|x + 6|-jln|x-3|.

2x-3

1

16.37. x^4, x#|, / = ln

3x-2

16.39. / =■—ln|4 + 5^f²|.

I

16.41. 7 = -= ln

75

2x + v/5 -1

2x—y ' 16.43. / = §ln|x —2|+-±ln|x+l|.

16.45.    x*j; i = i(ln|2x-l| + J-_T).

16.46.    / = 21n|x-5| + _;

16.48. 7 = ~ arctg ■

3

x”^5 2x— 1

x + \ — yj2

16.36.

16.38.

16.40.

16.42. 7 = ±ln

16.44. x^3 ; 7 = 21n|x —3| —

7 =—7= ln 2sj2

+1 + 7 = ±ln|l0x+x²|.

7 = iln

4

5—x x

2 —3x

16.47. 7 = 31n|x+2| + 16.49.

I =-p arctg

x+2 3x +1

V2 ° 72

x—3

O W rozwiązaniach pomijamy stałą C.