O’zbekiston respublikasi oliy va o’rta-maxsus


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Misollar.

  1. Ushbu

1





integral hisoblansin.

◄Bu integralda

deymiz. U holda

0
f x



df x

g x

bo’lib, (5 ) formulaga ko’ra






bo’ladi. Ravshanki,

xex 1

0

1 e1



0 e0 e,
1 1

exdx ex e1 e0 0 0

e 1.

Demak,
1
0


  1. Ushbu

2
1
integral hisoblansin.

◄Bu integralda



f x

deymiz. U holda


df x f x dx
bo’lib, (5 ) formulaga ko’ra
ln x dx
1 dx, x
g x x

2 2 2 1



ln xdx x ln x x dx 2ln 2 1 ln1

bo’ladi.►

  1. Ushbu

1

2



dx 2ln 2

1

1 1 x



x 2 2ln 2 2 1 2ln 2 1

1



1


0
integral hisoblansin.

◄Bu integralda



f x

deymiz. U holda


df x
g x
bo’lib, (5) formulaga ko’ra



bo’ladi. Ravshanki,



1 x4arctgx 1 .

4 0 4 4 4 4 16


Keyingi integral quyidagicha hisoblanadi:





Demak,
.►

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