## What is the integration of \[ \int {\sqrt {5 – 2x + {x^2}} } dx\] ~~~~~[NCERT Exemp. Q. 17,Page 164 ]

Let \[ I = \int {\sqrt {5 - 2x + {x^2}} } dx = \int {\sqrt {{x^2} - 2x + 1 + 4} } dx\]\[ = \int {\sqrt {{{(x -…

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# mathematics class 12 ncert exemplar solution

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What is the integration of \[ \int {\sqrt {5 – 2x + {x^2}} } dx\] ~~~~~[NCERT Exemp. Q. 17,Page 164 ]

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What is the integration of $\int {\frac{{(1 + \cos x)}}{{x + \sin x}}} dx$ ~~~~~[NCERT Exemp. Q. 5,Page 164 ]

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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 \[ I = \int {\sqrt {5 - 2x + {x^2}} } dx = \int {\sqrt {{x^2} - 2x + 1 + 4} } dx\]\[ = \int {\sqrt {{{(x -…

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What is the integration of \[ \int {\sqrt {5 – 2x + {x^2}} } dx\] ~~~~~[NCERT Exemp. Q. 17,Page 164 ]

What is the integration of $\int {\frac{{(1 + \cos x)}}{{x + \sin x}}} dx$ ~~~~~[NCERT Exemp. Q. 5,Page 164 ] Consider that, $I = \int {\frac{{(1 + \cos x)}}{{(x +…

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What is the integration of $\int {\frac{{(1 + \cos x)}}{{x + \sin x}}} dx$ ~~~~~[NCERT Exemp. Q. 5,Page 164 ]

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…

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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 ]