UrbanXrisis
Feb14-05, 03:27 PM
If \int_{a}^{b} f(x)dx = a+2b then \int_{a}^{b} (f(x)+5)dx = ?
Here's what I did:
\int_{a}^{b} (f(x)+5)dx = \int_{a}^{b}f(x)dx+\int_{a}^{b} 5 dx
\int_{a}^{b}f(x)dx+\int_{a}^{b} 5 dx = a+2b + 5b - 5a
\int_{a}^{b} (f(x)+5)dx = 7b-4a
Did I do this correctly? I know the answer is correct but I want to know if my thought process was correct or not. Thanks
Here's what I did:
\int_{a}^{b} (f(x)+5)dx = \int_{a}^{b}f(x)dx+\int_{a}^{b} 5 dx
\int_{a}^{b}f(x)dx+\int_{a}^{b} 5 dx = a+2b + 5b - 5a
\int_{a}^{b} (f(x)+5)dx = 7b-4a
Did I do this correctly? I know the answer is correct but I want to know if my thought process was correct or not. Thanks