150_2 (1)

2

Z xe x dx Z x 2 e x dx Z (x 2 +2x + 3)e x dx Z ln x dx Z √ x ln 2 x dx Z ln x x 3 dx Z x ln 1+ x 1 - x dx Z x 3 √ 1+ x 2 dx Z x 3 √ 1 - x 2 dx Z x 2 arccos x dx Z e x sin x dx Z dx (x 2 + a 2 ) 2 Z cos (ln x) dx

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1. Integralni raun

Rijeite neodreene integrale:

1.

xex dx

2.

x2ex dx

3.

(x2 + 2x+ 3)ex dx

4.

lnx dx

5.

x ln2 x dx

6.

lnx

x3dx

7.

x ln

1 + x

1 x dx

8.

x31 + x2

dx

9.

x31 x2 dx

10.

x2 arccosx dx

11.

ex sinx dx

12.

dx

(x2 + a2)2

13.

cos (lnx) dx

1
14.

arcsin

x

1 x dx

15.

e2x sin(ex) dx

16.

dx

2x2 + 6x+ 5

17.

3x+ 2

2x2 3x+ 4dx

18.

dx

(x2 + 2x+ 10)2

19.

x4dx

x4 + 5x2 + 4

20.

xdx

x3 3x+ 221.

4x 35 7x dx

22.

x3 + x+ 2

x2 + 7x+ 12dx

23.

dx

2x2 5x+ 724.

x 1

x2 x+ 1 dx

25.

2x2 3x+ 3x3 2x2 + x dx

26.

x3 + 4x2 2x+ 1

x4 + xdx

27.

dx

(1 + x2)2

2

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