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Definite Integration question

2022 · 24 Jun · Shift 1 · Q40

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PYQ Library
JEE Main
Mathematics
Definite Integration
2022 · 24 Jun · Shift 1 · Q40

Definite Integration question

2022 · 24 Jun · Shift 1 · Q40

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

Let

f(\theta ) = \sin \theta + \int\limits_{ - \pi /2}^{\pi /2} {(\sin \theta + t\cos \theta )f(t)dt}

. Then the value of

\left| {\int_0^{\pi /2} {f(\theta )d\theta } } \right|

is

\underline{\hspace{2cm}}

.

Numerical answer

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