Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. If f and g are continuous on [a,b], then ab[f(x)+g(x)]dx=abf(x)dx+abg(x)dx

Step-by-Step Solution

To determine

The statement is true or false.

Answer

True

Explanation

Recall the property of integral.

Properties of integral: ∫ab[fx+gx]dx=∫abfxdx+∫abgxdx