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Show that \[\int {\frac{{2x – 1}}{{2x + 3}}} dx = x – \log \left| {{{(2x + 3)}^2}} \right| + C\] ~~~~~[NCERT Exemp. Q. 1,Page 163 ]

Let $I = \int {\frac{{2x – 1}}{{2x + 3}}} dx = \int {\frac{{2x + 3 – 3 – 1}}{{2x +…

Find the area of the region in the first quadrant enclosed by x-axis, line x = \sqrt 3 y and…

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,…

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,…

$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 ${x^2} = 4y,y = 2,$$y = 4$ and the $y$-axis in the…

$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]$

Find the area of the region bounded by the curve y^2 = x and the lines x = 1,x =…

$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 =…