Question

Suppose f(x) is a continuous function such that ∫₁⁵ f(x)dx=3. What is ∫₁⁵ (2f(x)+1)dx?

o 6
o 4
o 7
o 10
o 12

Answer 1

Hi,

10

Explanation:

`\int\limits^5_1 {f(x)} \, dx =3\\\\\int\limits^5_1 {(2f(x)+1}) \, dx =3\\=2*\int\limits^5_1 {f(x)} \, dx +\int\limits^5_1 {1} \, dx \\=2*3+(5-1)\\\\=6+4=10`