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Definite Integration question

2020 · Shift 1 · Q30

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PYQ Library
JEE Advanced
Mathematics
Definite Integration
2020 · Shift 1 · Q30

Definite Integration question

2020 · Shift 1 · Q30

JEE AdvancedMathematicsDefinite IntegrationMultiple correct+4 / −2

Which of the following inequalities is/are TRUE?

A
$\int_0^1 {x\cos xdx\, \ge \,{3 \over 8}}$
B
$\int_0^1 {x\sin xdx\, \ge \,{3 \over {10}}}$
C
$\int_0^1 {{x^2}\cos xdx\, \ge \,{1 \over 2}}$
D
$\int_0^1 {{x^2}\sin xdx\, \ge \,{2 \over 9}}$

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