If f′(x)=g(x) for for a≤x≤b then ∫ab $$f(x)g(x)dx$$ is equal to

Correct option is 3(f(b))2−(f(a))22

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If $f^{'} (x) = g (x)$ for $f o r a \leq x \leq b$ then $\int_{a}^{b} f (x) g (x) d x$ is equal to

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g(b)−g(a)

f(b)−f(a)

(f(b))2−(f(a))22

(g(b))2−(g(a))22

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detailed solution

Correct option is C

∫ab f(x)g(x)dx=∫ab f′(x)f(x)dx=12(f(b))2−(f(a))2

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If f′(x)=g(x) for for a≤x≤b then ∫ab f(x)g(x)dx is equal to

Remember concepts with our Masterclasses.

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If $f^{'} (x) = g (x)$ for $f o r a \leq x \leq b$ then $\int_{a}^{b} f (x) g (x) d x$ is equal to