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int kf(x)dx=...

`int kf(x)dx=`

A

`k int f(x) dx`

B

`k+ int f(x) dx`

C

`1/k int f(x) dx`

D

`int f(x) dx`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the integral \( \int k f(x) \, dx \), we can follow these steps: ### Step 1: Identify the constant In the given integral, \( k \) is a constant. ### Step 2: Use the property of integrals According to the properties of integrals, a constant can be factored out of the integral. Therefore, we can rewrite the integral as: \[ \int k f(x) \, dx = k \int f(x) \, dx \] ### Step 3: Write the final expression Thus, the final expression for the integral is: \[ \int k f(x) \, dx = k \int f(x) \, dx \] This shows that the integral of a constant multiplied by a function is equal to the constant multiplied by the integral of the function. ### Final Answer \[ \int k f(x) \, dx = k \int f(x) \, dx \] ---
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