Integrala definită

Integrala definită

12th Grade

9 Qs

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Integrala definită

Integrala definită

Assessment

Quiz

Mathematics

12th Grade

Hard

Created by

Daniela Bota

Used 7+ times

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 01(3x26x+4)dx  \int_0^1\left(3x^2-6x+4\right)dx\ \  este egală cu

1

2

-2

 12\frac{1}{2}  

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 01 1x2+1dx\int_0^1\ \frac{1}{x^2+1}dx  este egală cu

 π4\frac{\pi}{4}  

 12\frac{1}{2}  

 π3\frac{\pi}{3}  

 π4-\frac{\pi}{4}  

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 12 14x2dx\int_1^{\sqrt{2}}\ \frac{1}{\sqrt{4-x^2}}dx  este egală cu

 π12\frac{\pi}{12}  

 π2\frac{\pi}{2}  

 π2-\frac{\pi}{2}  

 π6\frac{\pi}{6}  

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 35 1x29dx\int_3^5\ \frac{1}{\sqrt{x^2-9}}dx  este egală cu

 ln 95\ln\ \frac{9}{5}  

 ln 59\ln\ \frac{5}{9}  

1

 ln 19\ln\ \frac{1}{9}  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 02 1x236dx\int_0^2\ \frac{1}{x^2-36}dx  este egală cu

 π2\frac{\pi}{2}  

 12\frac{1}{2}  

 e2e^2  

 ln 12\ln\ \frac{1}{2}  

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 10 2xdx\int_{-1}^0\ 2^xdx  este egală cu

 1ln2\frac{1}{\ln2}  

 212^{-1}  

 12ln2\frac{1}{2\ln2}  

 14\frac{1}{4}  

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 0π(1+sinx)dx\int_0^{\pi}\left(1+\sin x\right)dx  este egală cu

 π\pi  

1

 π+2\pi+2  

 2π2\pi  

8.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 12(3x2+1x2)dx\int_1^2\left(3x^2+\frac{1}{x}-2\right)dx  este egală cu

 ln2\ln2  

 3+ln23+\ln2  

 5+ln25+\ln2  

1

9.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 01(x2)2dx\int_0^1\left(x-2\right)^2dx  este egală cu

 73\frac{7}{3}  

 13\frac{1}{3}  

 11  

 12\frac{1}{2}