Class 12 Maths
Application of Integrals
Question 1:
Using integration finds the area of the region bounded by the triangle whose vertices are (–1, 0), (1, 3) and (3, 2).
Question 2:
Find the area of the circle 4x2 + 4y2 = 9 which is interior to the parabola x2 = 4y.
Question 3:
Find the area bounded by curves (x – 1)2 + y2 = 1 and x2 + y2 = 1.
Question 4:
Find the area enclosed by the parabola 4y = 3x2 and the line 2y = 3x + 12.
Question 5:
Find the smaller area enclosed by the circle x2 + y2 = 4 and the line x + y = 2.
Question 6:
Find the area bounded by the curve y = x|x|, x-axis and the ordinates x = –1 and x = 1.
Question 7:
Find the area bounded by the curve x2 = 4y and the line x = 4y – 2.
Question 8:
Find the area bounded by the curves y2 = 4x and y = x.
Question 9:
Area bounded by the curve y = sin x and the x-axis between x = 0 and x = 2π is ______.
Question 10:
Area of the region bounded by the curve y = √(49 – x2) and the x-axis is _____.
Question 11:
Area of the region bounded by the curve x = 2y + 3, the y-axis and between y = -1 and y = 1 is _____.
Question 12:
The area enclosed between the graph of y = x3 and the lines x = 0, y = 1, y = 8 is _____.
Question 13:
Find the area of the region bounded by the curve y² = x, the y-axis and between y = 2 and y = 4.
Question 14:
The area bounded by the curve y = x3, the x-axis and two ordinates x = 1 and x = 2 is _____.
Question 15:
Find the area of the region bounded by the curve y = 1/x, x-axis and between x = 1, x = 4.
Question 16:
The area of the region bounded by the curve y² = x, the y-axis and between y = 2 and y = 4 is 56/3 sq units. State whether it is true or false?
Question 17:
Find the area of the region bounded by the circle x² + y² = 1.
Question 18:
What is the area of the parabola y2 = x bounded by its latus rectum?
Question 19:
Find the area of the region bounded by the curve y = e-2x and x-axis for x ∈ (-1, 1).
Question 20:
Using integration find the area of the triangular region whose sides have the equations y = 2x + 1, y = 3x + 1 and x = 4.
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In summary, problem-solving after learning a theoretical concept on CBSE Application of Integrals Class 12 Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.
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All About Daily Practice Problems on Class 12 Maths Application of Integrals NCERT Chapter 8
Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on Class 12 Maths Application of Integrals NCERT Chapter 8 useful.
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