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Definite Integration question

2021 · 16 Mar · Shift 1 · Q38

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 16 Mar · Shift 1 · Q38

Definite Integration question

2021 · 16 Mar · Shift 1 · Q38

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

Let f : R

\to

R be a continuous function such that f(x) + f(x + 1) = 2, for all x

\in

R. If

{I_1} = \int\limits_0^8 {f(x)dx}

and

{I_2} = \int\limits_{ - 1}^3 {f(x)dx}

, then the value of I1 + 2I2 is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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