Welcome to the NCERT Solutions for Class 12 Mathematics - Chapter Application of Integrals. This page offers a step-by-step solution to the specific question from Exercise 1, Question 1: . With detailed answers and explanations for each chapter, students can strengthen their understanding and prepare confidently for exams. Ideal for CBSE and other board students, this resource will simplify your study experience.
Find the area of the region bounded by the curve y2 = x and the lines x = 1, x = 4 and the x-axis.
The area of the region bounded by the curve, y2 = x, the lines, x = 1 and x = 4, and the x-axis is the area ABCD.
\begin{align}Area \;of\; ABCD = \int_{1}^{4} y.dx \end{align}
\begin{align} = \int_{1}^{4} \sqrt{x}.dx \end{align}
\begin{align} =\left[\frac{x^\frac{3}{2}}{\frac{3}{2}}\right]_1^4 \end{align}
\begin{align} =\frac{2}{3}\left[(4)^\frac{3}{2} - (1)^{\frac{3}{2}}\right] \end{align}
\begin{align} =\frac{2}{3}\left[8 -1\right] \end{align}
\begin{align} =\frac{14}{3}\; Units \end{align}
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Read MoreWelcome to the NCERT Solutions for Class 12 Mathematics - Chapter . This page offers a step-by-step solution to the specific question from Excercise 1 , Question 1: Find the area of the region bounded by the curve y2 = x and the lines x = 1, x = 4 and the x-axis.....
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