Question

Ma puteti ajuta si pe mine sa rezolv aceasta integrala . Nu mai stiu ce trebuie sa fac .

Answer 1

$\it \dfrac{x^2+2x+1}{x+1}= \dfrac{(x+1)^2}{x+1} =\dfrac{(x+1)(x+1)}{x+1}=x+1$


$\it \int^1_0 (x+1)dx=\int^1_0x dx +\int^1_0dx =\dfrac{x^2}{2}\Big{|}^1_0 +x\Big{|}^1_0=\dfrac{1}{2}-0+1-0=\dfrac{3}{2}$