Given and , calculate…

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

Given ∫04f(x) dx=7\displaystyle\int_{0}^{4} f(x)\,dx = 7 and ∫04g(x) dx=−2\displaystyle\int_{0}^{4} g(x)\,dx = -2, calculate ∫04(3f(x)−5g(x)) dx\displaystyle\int_{0}^{4}\bigl(3f(x)-5g(x)\bigr)\,dx.

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