turkey-yks 2010 Q49

turkey-yks · Other · lys1-math Integration by Parts Definite Integral Evaluation by Parts
For the function $f$ whose graph is given above, $$\int_{1}^{3} \frac{x \cdot f'(x) - f(x)}{x^{2}}\, dx$$ What is the value of the integral?
A) $\frac{7}{2}$
B) $\frac{3}{2}$
C) $\frac{2}{3}$
D) $\frac{1}{3}$
E) $\frac{5}{4}$
For the function $f$ whose graph is given above,
$$\int_{1}^{3} \frac{x \cdot f'(x) - f(x)}{x^{2}}\, dx$$
What is the value of the integral?

A) $\frac{7}{2}$\\
B) $\frac{3}{2}$\\
C) $\frac{2}{3}$\\
D) $\frac{1}{3}$\\
E) $\frac{5}{4}$