How do you integrate? int(2x - 2)/(sqrtx +1) dx
int(2x - 2)/(sqrtx +1) dx
2 Answers
Apr 7, 2018
Explanation:
We want to integrate
I=int(2x-2)/(sqrt(x)+1)dx
Rewrite the integrand
I=2int(x-1)/(sqrt(x)+1)dx
color(white)(I)=2int((sqrt(x)+1)(sqrt(x)-1))/(sqrt(x)+1)dx
color(white)(I)=2intsqrt(x)-1dx
Integrate by the power rule
I=2(2/3x^(3/2)-x)+C
color(white)(I)=4/3x^(3/2)-2x+C
Apr 7, 2018
Explanation:
Here,