1 . ∫x1-x2dx=?

• A. $\sqrt{1-x^2}+C$
• B. $-\sqrt{1-x^2}+C$
• C. $\frac{1}{\sqrt{1-x^2}}+C$
• D. $-\frac{1}{\sqrt{1-x^2}}+C$

Answer: Option B

Explanation:

2 . ∫x=x3-3x2+6x+2

• A. 1
• B. 5
• C. 10
• D. কোনটিই নয়

Answer: Option D

Explanation:

3 . ∫x

• A. $\infty ,\infty$
• B. $\mathrm{ℝ},\mathrm{ℝ}$
• C. $\mathrm{ℝ}\setminus \left\{4\right\},\mathrm{ℝ}$
• D. $\mathrm{ℝ}\setminus \left\{4\right\},\mathrm{ℝ}\left\{8\right\}$

Answer: Option D

Explanation:

4 . ∫x=x2a-x

• A. a
• B. 2a
• C. $2a^2$
• D. mn
• D. $a^2$

Answer: Option A

Explanation:

5 . ∫∫xdx=x+e2x+c

• A. $x+2e^x$
• B. $1+e^{2x}$
• C. $1+2e^{2x}$
• D. $x^2+2e^x$

Answer: Option A

Explanation:

6 . ∫xdx1-x2=?

• A. $-\sqrt{x}+C$
• B. $-\sqrt{1-x}+C$
• C. $\sqrt{1-x^2}+C$
• D. $-\sqrt{1-x^2}+C$

Answer: Option D

Explanation:

7 . ∫x=logx-x2-4

• A. $\left[-2,2\right]$
• B. $(-\infty -2]$
• C. $[4,\infty )$
• D. $[2,\infty )$

Answer: Option D

Explanation:

8 . ∫xex (1+x)2 dx= ?

• A. null
• B. x 1+x +c
• C. ex 1+x +c
• D.

Answer: Option A

Explanation:

9 . ∫xx+3x-1=

• A. $\left\{1\right\}$
• B. $R-\left\{\frac{3}{2}\right\}$
• C. $R-\left\{1,-1\right\}$
• D. $\left\{x\in R : x=not1\right\}$

Answer: Option D

Explanation:

10 . ∫x=x+1x,∫1x=?

• A. $x^2+\frac{1}{x^2}$
• B. $1+\frac{1}{x^2}$
• C. $x+\frac{1}{x}$
• D. $x^2+1$

Answer: Option C

Explanation:

11 . ∫x=x2-5x+6,∫x=0

• A. $-5,1$
• B. $2,3$
• C. $-2,3$
• D. $1,-5$

Answer: Option B

Explanation:

12 . ∫x=x2-4x+4

• A. $4$
• B. $2$
• C. $1$
• D. $0$

Answer: Option D

Explanation:

13 . ∫x=14-x2

• A. $-2\le x\le 2$
• B. $-2<x<2$
• C. $0\le x\le 2$
• D. $-2\le x\le 0$

Answer: Option B

Explanation:

14 . ∫x = 14-x2

• A. $-2\le x\le 2$
• B. $-2<x<2$
• C. $0\le x\le 2$
• D. $-2\le x\le 0$

Answer: Option B

Explanation:

15 . ∫xe-xdx=?

• A. $-{\mathrm{xe}}^{-\mathrm{x}}-{\mathrm{e}}^{\mathrm{x}}+\mathrm{k}$
• B. ${\mathrm{xe}}^{\mathrm{x}}+{\mathrm{e}}^{\mathrm{x}}+\mathrm{k}$
• C. ${\mathrm{xe}}^{\mathrm{x}}+\mathrm{k}$
• D. $-{\mathrm{xe}}^{-\mathrm{x}}+{\mathrm{e}}^{-\mathrm{x}}+\mathrm{k}$

Answer: Option A

Explanation:

16 . A=1-100

• A. $\left[\begin{array}{cc}-2& -1\\ 0& -3\end{array}\right]$
• B. $\left[\begin{array}{cc}-2& -1\\ 4& 0\end{array}\right]$
• C. $\left[\begin{array}{cc}-2& -4\\ -3& -3\end{array}\right]$
• D. $\left[\begin{array}{cc}2& -1\\ 0& 0\end{array}\right]$

Answer: Option A

Explanation:

17 . ∫x=x2-x

• A. $\left(1,0\right)$
• B. $\left(1,2\right)$
• C. $\left(0,-1\right)$
• D. $\left(1,1\right)$

Answer: Option A

Explanation:

18 . ∫-54∫xdx=10

• A. $36$
• B. $80$
• C. $50$
• D. $60$

Answer: Option D

Explanation: