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Let $I = \int {\frac{{2x - 1}}{{2x + 3}}} dx = \int {\frac{{2x + 3 - 3 - 1}}{{2x + 3}}} dx$ $ = \int 1 dx - 4\int {\frac{1}{{2x + 3}}} dx = x - \int {\frac{4}{{2\left( {x + \frac{3}{2}} \right)}}} dx$ $ = x - 2\log + \left| {\left( {x +…
![Find the area of the region in the first quadrant enclosed by x-axis, line x = sqrt 3 y and the circle x^2 + y^2 = 4[ NCERT Ex. 8.1, Q.6,Page 366]](https://mathstudy.in/wp-content/uploads/Find-the-area-of-the-region-in-the-first-quadrant-enclosed-by-x-axis-line-x-sqrt-3-y-and-the-circle-x2-y2-4-NCERT-Ex.-8.1-Q.6Page-366.jpg)
Find the area of the region in the first quadrant enclosed by x-axis, line x = \sqrt 3 y and the circle x^2 + y^2 = 4[ NCERT Ex. 8.1, Q.6,Page 366]
![Find the area of the region bounded by the ellipse 9x^2+4y^2=36. [ NCERT Ex. 8.1, Q.5,Page 366]](https://mathstudy.in/wp-content/uploads/Find-the-area-of-the-region-bounded-by-the-ellipse-9x24y236.-NCERT-Ex.-8.1-Q.5Page-366.jpg)
Find the area of the region bounded by the ellipse x^2/4 + y^2/9 = 1, 9x^2+4y^2=36. [ NCERT Ex. 8.1, Q.5,Page 366]
![Find the area of the region bounded by the ellipse , 9x^2+16y^2=144 [ NCERT Ex. 8.1, Q.4,Page 366]](https://mathstudy.in/wp-content/uploads/Find-the-area-of-the-region-bounded-by-the-ellipse-9x216y2144-NCERT-Ex.-8.1-Q.4Page-366.jpg)
Find the area of the region bounded by the ellipse x^2/16 + y^2/9 = 1, 9x^2+16y^2=144 [ NCERT Ex. 8.1, Q.4,Page 366]
![Find the area of the region bounded by ${x^2} = 4y,y = 2,$$y = 4$ and the $y$-axis in the first quadrant [ NCERT Ex. 8.1, Q.3,Page 366]](https://mathstudy.in/wp-content/uploads/Find-the-area-of-the-region-bounded-by-x2-4yy-2y-4-and-the-y-axis-in-the-first-quadrant-NCERT-Ex.-8.1-Q.3Page-366.jpg)
Find the area of the region bounded by ${x^2} = 4y,y = 2,$$y = 4$ and the $y$-axis in the first quadrant [ NCERT Ex. 8.1, Q.3,Page 366]
![Find the area of the region bounded by ${y^2} = 9x,x = 2,x = 4$ and the $x$-axis in the first quadrant. [ NCERT Ex. 8.1, Q.2,Page 365]](https://mathstudy.in/wp-content/uploads/Find-the-area-of-the-region-bounded-by-y2-9xx-2x-4-and-the-x-axis-in-the-first-quadrant.-NCERT-Ex.-8.1-Q.2Page-365.jpg)
Find the area of the region bounded by the curve y^2 = x and the lines x = 1,x = 4 and the x-axis. [ NCERT Ex. 8.1, Q.1,Page 365]
![Find the area of the region bounded by the curve ${y^2} = x$ and the lines $x = 1,x = 4$ and the $x$-axis. [ NCERT Ex. 8.1, Q.1,Page 365]](https://mathstudy.in/wp-content/uploads/Find-the-area-of-the-region-bounded-by-the-curve-y2-x-and-the-lines-x-1x-4-and-the-x-axis.-NCERT-Ex.-8.1-Q.1Page-365.jpg)
Find the area of the region bounded by the curve ${y^2} = x$ and the lines $x = 1,x = 4$ and the $x$-axis. [ NCERT Ex. 8.1, Q.1,Page 365]
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