• A. ${\tan }^{-1}\left(e^{-x}\right)$
• B. $\tan \left(e^{-x}\right)$
• C. ${\tan }^{-1}\left(e^x\right)$
• D. $\tan \left(e^x\right)$

Answer: Option C

Explanation:

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

Answer: Option A

Explanation:

• A. $\ln \left(\frac{1}{x}\right)+c$
• B. $\ln \left(ln \frac{1}{x}\right)+c$
• C. $\ln \left(ln x\right)+c$
• D. কোনটিই নয়

Answer: Option C

Explanation:

• 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:

• A. 1
• B. 5
• C. 10
• D. কোনটিই নয়

Answer: Option D

Explanation:

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

Answer: Option A

Explanation:

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

Answer: Option A

Explanation:

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

Answer: Option D

Explanation:

• 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:

• A. $\propto >\beta$
• B. $\propto =\beta$
• C. $\propto <\beta$
• D. কোনোটিই নয়

Answer: Option C

Explanation:

• A. $\frac{2}{3}$
• B. $cos\frac{\pi }{4}$
• C. $\frac{4}{5}$
• D. $\frac{-5}{3\sqrt{6}}$

Answer: Option D

Explanation:

• A. $\frac{9}{2}$
• B. $9$
• C. $\frac{8}{3}$
• D. $\frac{4}{3}$

Answer: Option B

Explanation:

• A. $\frac{25}{2}$
• B. $25$
• C. $\frac{15}{2}$
• D. $5$

Answer: Option A

Explanation:

• A. $\frac{3}{5}$
• B. $\frac{1}{2}$
• C. $\frac{4}{5}$
• D. $\frac{3}{4}$

Answer: Option C

Explanation:

• A. 15 π
• B. 10 π
• C. 20 π
• D. 25 π

Answer: Option A

Explanation: