CUET Mathematics Calculus > Application of Integrals PYQs

4

8

$\frac{17}{4}$

$\frac{15}{4}$

$10\pi$

$8\pi$

$6\pi$

$4\pi$

$3[4 - \sqrt{2}]$

$2[4 + \sqrt{2}]$

$8[4 - \sqrt{2}]$

$4[4 - \sqrt{2}]$

8 sq.units

4 sq.units

16 sq.units

0 sq.units

1 sq. units

$\pi$ sq. units

$\frac{\pi}{2}$ sq. units

2 sq. units

$2(\pi - 2)$ sq units

$8\pi$ sq units

$(3\pi + 2)$ sq units

$2(3\pi + 2)$ sq units

$\frac{256}{3}$ square units

$\frac{128}{3}$ square units

$\frac{64}{3}$ square units

$\frac{32}{3}$ square units

0

3

2

1

19

5

2

$\frac{3}{2}$

$\frac{27}{2}$ Sq.unit

$\frac{9}{2}$ Sq.unit

$\frac{15}{2}$ Sq.unit

$\frac{11}{2}$ Sq.unit

$\frac{2}{3}[11 - 10\sqrt{10}]$

$\frac{10}{3}[1 - 2\sqrt{10}]$

$\frac{2}{3}[10\sqrt{10} - 26]$

$\frac{2}{3}[11 + 10\sqrt{10}]$

$\frac{8}{3}$ sq. units

$\frac{32}{3}$ sq. units

$\frac{16\sqrt{2}}{3}$ sq. units

$\frac{16}{3}$ sq. units

$\frac{9}{6}$ square units

$\frac{9}{2}$ square units

$\frac{7}{6}$ square units

$\frac{7}{3}$ square units

$\frac{8a^3}{3}$ sq. units

$\frac{8\sqrt{2}a^2}{3}$ sq. units

$\frac{32a^3}{3}$ sq. units

$\frac{64a^3}{3}$ sq. units

$\frac{32}{3}$

$\frac{1}{3}$

$\frac{16}{3}$

$\frac{4}{3}$

$\frac{\pi}{4}$

$\frac{3\pi}{4}$

$\frac{\pi}{2}$

$\frac{\pi}{6}$

$\left(\frac{\pi}{2} - 1\right)$ sq. unit

$\frac{1}{2}(\pi - 1)$ sq. unit

$\frac{1}{2}\left(\frac{\pi}{2} - 1\right)$ sq. unit

$(\pi - 1)$ sq. unit

$2\sqrt{3}$

$\frac{4\sqrt{2}}{3} + 2\sqrt{3}$

$4\sqrt{3}$

$\frac{4\sqrt{2}}{3} - 2\sqrt{3}$

4

6

8

16

$\frac{11}{3}$ Sq. units

$\frac{2}{3}$ Sq. units

$\frac{14}{3}$ Sq. units

$\frac{26}{3}$ Sq. units

$\frac{3}{2}(\pi - 2)$

$\frac{3}{2}(3\pi + 2)$

$6\pi$

$3\pi + 3$

7/3 sq. units

5/3 sq. units

4/3 sq. units

2/3 sq. units

1

2

4

3

1 sq. units

$\frac{3}{4}$ sq. units

$\frac{1}{2}$ sq. units

$\frac{1}{4}$ sq. units

Rs. 2800

Rs. 1875

Rs. 4790

Rs. 3383.75

$\beta = 2$

$\beta = 1$

$\beta = -1$

$\beta = \frac{1}{2}$

$\frac{9}{2}$ sq. units

$\frac{7}{2}$ sq. units

$\frac{13}{2}$ sq. units

$\frac{5}{2}$ sq. units

4

$\frac{17}{4}$

8

$\frac{19}{4}$

$\frac{1000\sqrt{2}}{3}$

1000

$\frac{4}{3}$

$\frac{500}{3}$

$\frac{9}{2}$

$\frac{9}{4}$

2

$\frac{9}{3}$

$(6\pi - 3)$ sq units

$(3\pi + 6)$ sq units.

$(6\pi + 3)$ sq units

$(3\pi - 6)$ sq units

2 square units

4 square units

6 square units

8 square units

1

2

3

8/3

$\frac{9}{4}$

2

3

$\frac{9}{2}$

1

2

3

4

$8\pi$

$16\pi$

$24\pi$

$32\pi$

3 square units

$\frac{11}{3}$ square units

$\frac{14}{3}$ square units

6 square units

$\frac{16}{3}$

$\frac{32}{3}$

$\frac{8}{3}$

$\frac{64}{3}$

$\frac{6}{7}$

$\frac{7}{12}$

$\frac{5}{2}$

7

4

2

1

3

$\frac{3}{2}$

$\frac{16}{3}$

$\frac{32}{3}$

$\frac{7}{2}$

20

24

27

28

$\frac{1}{3}a^2$

$\frac{2}{3}a^2$

$\frac{4}{3}a^2$

$\frac{8}{3}a^2$

$\frac{15}{4}$ sq. units

$\frac{17}{4}$ sq. units

$\frac{19}{4}$ sq. units

$\frac{21}{4}$ sq. units

$a$

$3a$

$2a^2$

$a^2$

$\frac{16}{3}$ sq.units

15 sq.units

$\frac{21}{2}$ sq.units

12 sq.units

16 - √2 sq. units

16 + √2 sq. units

16 + 4√2 sq. units

16 - 4√2 sq. units

$\frac{45}{7}$ Sq. units

$\frac{45}{2}$ Sq. units

$\frac{45}{4}$ Sq. units

7 Sq. units

4

2

1

2π

63 sq. units

36 sq. units

27 sq. units

18 sq. units

$e - 1$ sq. units

$e$ sq. units

1 sq. units

0 sq. units

9

11

13

15

$\frac{4}{3}$ Sq. units

$\frac{2}{3}$ Sq. units

1 Sq. units

$\frac{5}{3}$ Sq. units

$\frac{125}{6}$ Sq. units

$\frac{125}{3}$ Sq. units

$\frac{125}{2}$ Sq. units

$\frac{121}{6}$ Sq. units

64 Sq. units

$\frac{32}{3}$ Sq. units

$\frac{64}{3}$ Sq. units

$\frac{128}{3}$ Sq. units

$\frac{4}{3}[2\sqrt{2} - 1]$

$\frac{2}{3}[2\sqrt{2} - 1]$

$\frac{2}{3}[2\sqrt{2} + 1]$

$\frac{4}{3}[2\sqrt{2} + 1]$

(A) and (B) only

(A) and (C) only

(C) and (D) only

(D) only

$\frac{9}{2}$ sq. units

9 sq. units

2 sq. units

$\frac{9}{4}$ sq. units

$\frac{1}{3}$

$\frac{4}{3}$

$\frac{5}{3}$

$\frac{8}{3}$

$\frac{1}{6}$

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{2}{3}$

1

2

$\frac{\pi}{2}$

$\frac{\pi}{4}$

12

$\frac{49}{4}$

$\frac{25}{2}$

25

0

4

8

16

$\frac{1}{54}$

$\frac{1}{9}$

$\frac{1}{27}$

$\frac{1}{36}$

1

2

3

$\frac{3}{2}$

$400\pi$

$200\pi$

$40\pi$

$20\pi$

9

$\frac{5}{2}$

18

$\frac{9}{2}$

$34$ sq units

$20$ sq units

$24$ sq units

$16$ sq units

$56\sqrt{3} \ ab$

$56a$

$\frac{ab}{2}$

$3ab$

$16$ sq. units

$\frac{32}{3}$ sq. units

$\frac{8}{3}$ sq. units

$\frac{16}{3}$ sq. units