Free Printable Интеграли

1.

$\int_{ }^{ }\sqrt{x^5}\ dx\ =\ ...$

a)

$\frac{2}{7}\sqrt{x^7}+\ C$

b)

$\frac{2}{5}x^3\sqrt{x}\ +\ C$

c)

$\sqrt{5x^4}\ +\ C$

d)

$\sqrt{\frac{1}{6}x^6}\ +\ C$

e)

$5x^{4\ }+\ C$

2.

$\int^{ }\left(2x+3\right)^2\ dx\ =\ ...$

a)

$\frac{4}{3}x^3-3x^2+9x+c$

b)

$\ \frac{4}{3}x^3+3x^2+9x\ +\ c$

c)

$\frac{4}{3}x^3+6x^2+9x+c$

d)

$\frac{3}{4}x^3+6x^2-9x+c$

3.

$\int6x\left(3x^2+5\right)^{5\ }dx\ =\ ...$

a)

$\frac{1}{3}\left(3x^2+5\right)^5+\ c$

b)

$\frac{2}{3}\left(3x^2+5\right)^{5\ }+\ c$

c)

$\frac{1}{6}\left(3x^2+5\right)^6+\ c$

d)

$\frac{1}{3}\left(3x^2+5\right)^6+\ c$

e)

$\frac{2}{3}\left(3x^2+5\right)^6+\ c$

4.

$\int_2^3\ \left(6x^2-2x+7\right)\ dx\$ = ...

a)

32

b)

34

c)

38

d)

40

5.

Ako je $\int_1^a\left(2x-1\right)dx\ =\ 6\$ , tada je $a=...$

a)

4

b)

3

c)

2

d)

0

6.

Površina figure koja se nalazi u preseku parabole $y\ =\ x^2\ +\ x\ -6\$ i prave $y\ =\ 3x+2$ je:

a)

40

b)

38

c)

36

d)

34

7.

$\int_{ }^{ }\cos⁡3xdx=...$

a)

$-3\sin3x+c$

b)

$-\frac{1}{3}\sin x+c$

c)

$\frac{1}{3}\sin3x+c$

d)

$\sin3x+c$

8.

a)

b)

c)

d)

9.

$\int_0^2xe^xdx=...$

a)

2e²+1

b)

e²+1

c)

2e²-1

d)

e²-1

10.

Kojim od sledećih integrala će se dobiti površina označene figure (klik na sliku za veći prikaz)?

a)

b)

c)

d)

Интеграли

Total questions: 10

Worksheet time: 3hrs 30mins

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