Question:medium
If $\displaystyle\int_{-1}^{4} f(x)\,dx = 4$ and $\displaystyle\int_{2}^{4} [3 - f(x)]\,dx = 7$, then $\displaystyle\int_{-1}^{2} f(x)\,dx$ equals
If $\displaystyle\int_{-1}^{4} f(x)\,dx = 4$ and $\displaystyle\int_{2}^{4} [3 - f(x)]\,dx = 7$, then $\displaystyle\int_{-1}^{2} f(x)\,dx$ equals
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$\displaystyle\int_a^c f\,dx = \int_a^b f\,dx + \int_b^c f\,dx$. Use this to split or combine integral limits when partial values are known.
Updated On: Apr 8, 2026
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The Correct Option is C
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