Continuous functions f, g are known to have the properties z 4 1 f(x) dx = 19, z 4 1 g(x) dx = 12 respectively. use these to find the value of the integral i = z 4 1 (8f(x) − g(x) + 7) dx. 1. i = 157 2. i = 161 3. i = 159 4. i = 163 5. i = 155

The value of the integral is 161.

We have

Now, the integral

The value of the integral 161.

Therefore the correct option is 4.161

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You want to compute

By linearity of the definite integral,

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