1
IIT-JEE 1993
Fill in the Blanks
+2
-0
The value of $$\int\limits_{\pi /4}^{3\pi /4} {{\phi \over {1 + \sin \phi }}d\phi } $$ is ..............
2
IIT-JEE 1989
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+2
-0
The value of $$\int\limits_{ - 2}^2 {\left| {1 - {x^2}} \right|dx} $$ is ...............
3
IIT-JEE 1988
Fill in the Blanks
+2
-0
The integral $$\int\limits_0^{1.5} {\left[ {{x^2}} \right]dx,} $$

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

4
IIT-JEE 1987
Fill in the Blanks
+2
-0
$$f\left( x \right) = \left| {\matrix{ {\sec x} & {\cos x} & {{{\sec }^2}x + \cot x\cos ec\,x} \cr {{{\cos }^2}x} & {{{\cos }^2}x} & {\cos e{c^2}x} \cr 1 & {{{\cos }^2}x} & {{{\cos }^2}x} \cr } } \right|.$$
Then $$\int\limits_0^{\pi /2} {f\left( x \right)dx = .......} $$
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