# Maths MCQs for Class 12 with Answers Chapter 8 Application of Integrals

Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 8 Application of Integrals. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Application of Integrals MCQs Pdf with Answers to know their preparation level.

## Application of Integrals Class 12 Maths MCQs Pdf

1. Area bounded by the curve y = sin x and the x-axis between x = 0 and x = 2π is
(a) 2 sq units
(b) 0 sq units
(c) 3 sq units
(d) 4 sq units

Explaination:
(d), as sin x is positive in 1st and 2nd quadrant and negative is 3rd and 4th quadrant. 2. Area of the region bounded by the curve y = $$\sqrt{49-x^{2}}$$ and the x-axis is
(a) $$\frac{49}{2}$$π sq units
(b) 98π sq units
(c) 49π sq units
(d) 240π sq units

Explaination: 3. Area of the region bounded by the curve x = 2y + 3, the y-axis and between y = -1 and y = 1 is
(a) 4 sq units 3
(b) $$\frac{3}{2}$$ sq units
(c) 6 sq units
(d) 8 sq units

Explaination: (c), as area = $$\int_{-1}^{1}$$ (2y + 3)dy = 6 sq units

4. The area of the region bounded by the curve y = $$\frac{1}{x}$$, the x-axis and between x = 1 to x = 6 is ________ .

Explaination: 5. The area enclosed by the curve y = x² and y = 8 is________.

Explaination: 6. The area of the region bounded by the curve y² = x, the y-axis and between y = 2 and y = 4 is $$\frac{56}{3}$$ sq units. State true or false.

Explaination: 7. Find the area of the region bounded by the curve y = $$\frac{41}{x}$$, x-axis and between x = 1, x = 4.

Explaination:  8. Write an expression for finding the area bounded by the curves y = sin x and y = cos x, between x = 0, x = $$\frac{\pi}{2}$$ and the x-axis. [HOTS] Explaination: 9. Find the area of the region bounded by the curve y = x² and the line y = 4. [NCERT]

Explaination: 10. Using integration find the area of the region bounded by the parabola y = x² and the line y = x. [Delhi 2013(C)]

Explaination:  11. Find the area bounded by the curve y² = 4ax and the line y = 2a and the y-axis.

Explaination: 12. Find the area bounded by the curve y = cos x between x = 0 and x = 2π. [NCERT] 