​Cho ∫42f(x)dx=10và∫42g(x)dx=5 . Tính I=∫42[3f(x)−5g(x)+2x]dx ​

Question

Cho \(\int _{2}^{4}f\left(x\right)dx=10  và \int _{2}^{4}g\left(x\right)dx=5\) . Tính\( I=\int _{2}^{4}\left[3f\left(x\right)-5g\left(x\right)+2x\right]dx \)

A. I=17

B. I=15

C. I=-5

D. I=10
 

Answer 1

Chọn A
\(I=3\int _{2}^{4}f\left(x\right)dx -5\int _{2}^{4}g\left(x\right)dx +\int _{2}^{4}2xdx =3.10-5.5+12=17.\)