Mathematics-Integral

Test Preparation on Mathematics-Integral

1.

If
then

1I2 > I 1
2I 1 > I 2
3I 3 = I 4
4I 3 > I 4

2.

The area enclosed between the curve y = log e ( x + e ) and the coordinate axes is

11
22
33
44

3.

The parabolas y2= 4x and x2= 4y divide the square re ion bounded by the linesx = 4, y = 4 and the coordinate axes. If S1, S2 S3 a e espectively the area of theseparts numbered from top to bottom, then S1: S2 : S3 is

11 : 2 : 1
21 : 3 : 1
32 : : 2
41 : 1 : 1

4.

is equal to

1logx/ ( log x )2+1 +c
2x/ x2+1 +c
3xex/ 1 + x 2 + c
4x/ ( log x )2+1 +c

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