Анықталмаған интеграл

Анықталмаған интеграл

11th Grade

7 Qs

quiz-placeholder

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Анықталмаған интеграл

Анықталмаған интеграл

Assessment

Quiz

Mathematics

11th Grade

Hard

Created by

Асем Бектембаева

Used 36+ times

FREE Resource

7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

 0dx\int_{ }^{ }0dx  

0

1

C

x

2.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

 4x3dx\int4x^3dx  

 8x+C8x+C  

 x4+Cx^4+C  

 2x2+C2x^2+C  

 x4x^4  

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

 sin5xdx\int\sin5xdx  

 15cos5x+C\frac{1}{5}\cos5x+C  

 15cos5x+C-\frac{1}{5}\cos5x+C  

 5cos5x+C5\cos5x+C  

 5cosx+C-5\cos x+C  

4.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

 (dxcos2x)\int\left(\frac{dx}{\cos^2x}\right)  

 sin2x+C\sin^2x+C  

 cos2x+C\cos^2x+C  

 tgx+Ctgx+C  

 ctgx+C\operatorname{ctg}x+C  

5.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

 (dx5x)\int\left(\frac{\text{d}x}{\text{5x}}\right)  

5x+c

 15lnx+C\frac{1}{5}\ln x+C  

 15x2+C\frac{1}{5x^2}+C  

ln5x+C

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 (dxx2+9)\int\left(\frac{dx}{x^2+9}\right)  

 ln(x2+9)+C\ln\left(x^2+9\right)+C  

 ln(x2+x2+9)+C\ln\left(x^2+\sqrt{x^2+9}\right)+C  

 13arctg(x3)+C\frac{1}{3}ar\operatorname{ctg}\left(\frac{x}{3}\right)+C  

3arctgx+C

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 (dx4x2)\int\left(\frac{dx}{\sqrt{4-x^2}}\right)  

 arcsin(x2)+c\arcsin\left(\frac{x}{2}\right)+c  

 2arcsin(x2)+C2\arcsin\left(\frac{x}{2}\right)+C  

 ln(4+4x2)+C\ln\left(4+\sqrt{4-x^2}\right)+C  

 ln(44x2)+C\ln\left(4-\sqrt{4-x^2}\right)+C