(12)∫e^x (1+ex)dx(14)∫√(1+lnx)/x dx(19)∫dx/4+x^2
热心网友
12)∫e^x (1+ex)dx=e^x (1+ex)-∫e^x d(1+ex)==e^x (1+ex-e)+C(14)∫√(1+lnx)/x dx=∫√(1+lnx)dlnx=2/3(√(1+lnx))^3+C(19)∫dx/(4+x^2)=1/2arctg(x/2)+C
(12)∫e^x (1+ex)dx(14)∫√(1+lnx)/x dx(19)∫dx/4+x^2
12)∫e^x (1+ex)dx=e^x (1+ex)-∫e^x d(1+ex)==e^x (1+ex-e)+C(14)∫√(1+lnx)/x dx=∫√(1+lnx)dlnx=2/3(√(1+lnx))^3+C(19)∫dx/(4+x^2)=1/2arctg(x/2)+C