A. $3x - 2\ln \frac{3}{2} \cdot \left(\frac{3}{2}\right)^x + C$;
B. $3x - 2x \cdot \left(\frac{3}{2}\right)^{x-1} + C$;
C. $3 - \frac{2}{\ln 3 - \ln 2} \cdot \left(\frac{3}{2}\right)^x + C$;
D. $3x - \frac{2}{\ln 3 - \ln 2} \cdot \left(\frac{3}{2}\right)^x + C$.
int dfrac (2cdot {3)^x-5cdot (2)^x}({3)^x}dx-|||-__；；
求下列不定积分:-|||-int dfrac (2cdot {3)^x-5cdot (2)^x}({3)^x}dx =
(17) int dfrac (2cdot {3)^x-5cdot (2)^x}({3)^x}dx-|||-(18) (int )_(e)^exe(sex-ta
int dfrac (2{x)^3+2x+3}({x)^2+1}dx=(x)^a+b(x)+C 则 cdot b(x)=
（4）lim _(xarrow infty )dfrac ({3)^x+4cdot (2)^x}({2)^x-3cdot (5)^x}（4）
=(int )_(-1)^1(f(x)+f(-x)+x} cdot ln (sqrt (1+{x)^2}+x)dx..
int ((2)^xsin (x)^2)dx= ()-|||-(4) ^xsin (x)^2-|||-circled (8) ln 2cdot (2)^xcdo
int dfrac ({x)^3}({(1+{x)^2)}^2}dx=A.int dfrac ({x)^3}({(1+{x)^2)}^2}dx=B.int df
int dfrac (x)(3-2{x)^2}dx;
(3) int dfrac (x)(sqrt {2-3{x)^2}}dx;