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1

IIT-JEE 1994

Fill in the Blanks
The value of $$\int\limits_2^3 {{{\sqrt x } \over {\sqrt {3 - x} + \sqrt x }}} dx$$ is ...........

Answer

$${\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}$$
2

IIT-JEE 1993

Fill in the Blanks
The value of $$\int\limits_{\pi /4}^{3\pi /4} {{\phi \over {1 + \sin \phi }}d\phi } $$ is ..............

Answer

$$\pi \left( {\sqrt 2 - 1} \right)$$
3

IIT-JEE 1989

Fill in the Blanks
The value of $$\int\limits_{ - 2}^2 {\left| {1 - {x^2}} \right|dx} $$ is ...............

Answer

$$4$$
4

IIT-JEE 1988

Fill in the Blanks
The integral $$\int\limits_0^{1.5} {\left[ {{x^2}} \right]dx,} $$

Where [ ] denotes the greatest integer function, equals .............

Answer

$$2 - \sqrt 2 $$

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