211

221

231

241

-2

2

4

$\sqrt{28 }$

$\sqrt{34 }$

$\sqrt{37 }$

$\sqrt{42 }$

${\tan }^{-1}\left(e^x\right)+C$

$\tan \left(e^x\right)+c$

$\cos e{c}^{-1}\left(e^x\right)+C$

${\sin }^{-1}\left(e^x\right)+C$

$\frac{1}{10}$

$\frac{1}{5}$

$\frac{1}{2}$

1

ফাংশন

ক্ষেত্রফল

আয়তন

দৈর্ঘ্য

n(n+1)(2n+1)

2/3n(n+1)(2n+1)

3/2n(n+1)(2n+1)

n(n-1)(2n+1)

(1,1)

(-2,2)

(3,3)

(7,-5)

$\frac{n+1}{2}$

n+1

$\frac{{\displaystyle n(n+1)}}{{\displaystyle 2}}$

n(n+1)

$\frac{3}{2\sqrt{2}}$

$\frac{{\displaystyle \sqrt{3}}}{{\displaystyle 2\sqrt{2}}}$

$\frac{{\displaystyle \sqrt{3}-1}}{{\displaystyle 2\sqrt{2}}}$

$\frac{{\displaystyle \sqrt{3}+1}}{{\displaystyle 2\sqrt{2}}}$

$\frac{6x}{5}>\frac{43}{60}$

$\frac{5x}{6}>\frac{43}{60}$

$\frac{x}{6}>\frac{43}{60}$

$5x>\frac{43}{60}$

অন্তবিন্দু

পরিবিন্দু

ভরকেন্দ্র

লম্বকেন্দ্র

$\frac{8x }{(x^2-4{)}^2}$

$-\frac{{\displaystyle 8x }}{{\displaystyle (x^2-4{)}^2}}$

$\frac{{\displaystyle 4x }}{{\displaystyle (x^2-8{)}^2}}$

$\frac{{\displaystyle 4x }}{{\displaystyle (x^2+8{)}^2}}$

$\frac{2}{\sqrt{3}}$

$\frac{{\displaystyle \sqrt{3}}}{{\displaystyle 2}}$

$-\frac{{\displaystyle \sqrt{3}}}{{\displaystyle 2}}$

$\frac{1}{2}$

$-\frac{1}{2}$

1

$\infty$

$\frac{\mathrm{\pi }}{2}$

$\frac{{\displaystyle \mathrm{\pi }}}{{\displaystyle 3}}$

$\frac{{\displaystyle \mathrm{\pi }}}{{\displaystyle 4}}$

$\frac{{\displaystyle \mathrm{\pi }}}{{\displaystyle 6}}$

$\frac{3}{1+x^2}$

$-\frac{{\displaystyle 1}}{{\displaystyle 2\sqrt{1-x^2}}}$

$\frac{{\displaystyle 1}}{{\displaystyle \sqrt{1-x^2}}}$

$\frac{{\displaystyle -x}}{{\displaystyle \sqrt{1-x^2}}}$

(-2,0)

(0,-2)

(2,-2)

(0,0)

$\frac{\sqrt{3}+1}{\sqrt{3}}$

$\frac{{\displaystyle \sqrt{2}+2}}{{\displaystyle \sqrt{2}}}$

$\frac{{\displaystyle \sqrt{3}-1}}{{\displaystyle \sqrt{3}}}$

$\frac{{\displaystyle \sqrt{3}+2}}{{\displaystyle \sqrt{2}}}$

9 এবং 18

8 এবং 16

7 এবং 15

6 এবং 14