• A. $e^{co{m}^{-1}x}+c$
• B. $-e^{co{m}^{-1}x}+c$
• C. $-\frac{1}{2}{e}^{co{m}^{-1}x}+c$$\frac{1}{2}{e}^{co{m}^{-1}x}+c$
• D. $\frac{1}{2}{e}^{co{m}^{-1}x}+c$

Answer: Option B

Explanation:

• 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:

• A. $\frac{1}{2}{\sin }^{-1}\frac{2x}{5}+k$
• B. $\frac{5}{2}{\sin }^{-1}\frac{2x}{5}+k$
• C. $\frac{5}{2}{\cos }^{-1}\frac{2x}{5}+k$
• D. ${\sin }^{-1}\frac{2x}{5}+k$

Answer: Option A

Explanation:

• 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. $\sqrt{1-x^2}+C$
• 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. 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. $\frac{9}{2}$
• B. $9$
• C. $\frac{8}{3}$
• D. $\frac{4}{3}$

Answer: Option B

Explanation:

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

Answer: Option A

Explanation:

• A. $\frac{7\mathrm{\pi }}{3}$
• B. $\frac{2\mathrm{\pi }}{3}$
• C. $\frac{4\mathrm{\pi }}{3}$
• D. $\frac{\mathrm{\pi }}{3}$

Answer: Option D

Explanation:

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

Answer: Option C

Explanation:

• A. $3x=\pm 5$
• B. $3x=\pm \frac{1}{5}$
• C. $3y=\pm \frac{1}{5}$
• D. $3y=\pm 5$

Answer: Option D

Explanation:

• A. 12
• B. 10
• C. 40
• D. 1

Answer: Option A

Explanation: