Quiz about esercizi sugli integrali definiti

Question 1

Se

$$\int_1^{5\ }f\left(x\right)dx=10$$ e $$\int_3^5f\left(x\right)dx=7$$ si ha $$\int_1^3f\left(x\right)dx=$$

Accepted Answer

3

Answer

2

Answer

17

Answer

-3

Question 2

Quanto vale l'area S₁?

Accepted Answer

$$\frac{10}{3}$$

Answer

3

Answer

$$\frac{7}{3}$$

Answer

$$\frac{4}{3}$$

Question 3

$$\int_a^bf\left(x\right)dx+\int_b^af\left(x\right)dx=0$$

Accepted Answer

Vero

Answer

Falso

Question 4

$$\int_a^bf\left(x\right)\cdot g\left(x\right)dx=\int_a^bf\left(x\right)dx\cdot\int_a^bg\left(x\right)dx$$

Accepted Answer

Falso

Answer

Vero

Question 5

Quali dei seguenti integrali calcola l'area S₁?

Accepted Answer

$$\int_0^1\left(x+1\right)\ dx$$

Answer

$$\int_0^{1\ }\left(x+1-x^{2\ }-1\right)dx$$

Answer

$$\int_0^1\left(x+1-\left(x^{2\ }-1\right)\right)dx$$

Answer

$$\int_{-1}^2\left(x^2-1-\left(x+1\right)\right)dx$$

Question 6

determina l'area sottesa dalla curva

y =3x²-2x da x=1 a x=5

Accepted Answer

100

Answer

99

Answer

150

Answer

152

Question 7

Question 7.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 8

Question 8.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 9

Determina l'area sottesa dalla curva f(x)=5x⁴+3x+7 tra 0 e 4

Accepted Answer

1076

Answer

1200

Answer

1/12

Answer

1134

Question 10

Question 10.

Accepted Answer

6.5

Answer

12/3

Answer

5.5

Answer

11/3

Question 11

_{calcola il seguente integrale definito}

Accepted Answer

32/3

Answer

30/3

Answer

31/3

Answer

29/3

Question 12

Question 12.

Accepted Answer

9/2

Answer

11/2

Answer

7/6

Answer

11/3

Answer

3

Question 13

Question 13.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Answer

E.

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