MHT CET 2023 Mathematics question

MathematicsDefinite IntegrationMHT CET 2023

Let be a continuous function such that . Let and be the area of the region bounded by , , and the X-axis, then is

Answer: (B)

Solution

Since , . Use the property with : R_1=\int_{-1}^2xf(x)dx=\int_{-1}^2(1-x)f(1-x)dx=\int_{-1}^2(1-x)f(x)dx (because ). Adding the

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Question ID VK-096410