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What is the integration of \[ \int {\frac{{\sqrt x }}{{\sqrt {{a^3} – {x^3}} }}} dx\] ~~~~~[NCERT Exemp. Q. 24,Page 165 ]

What is the integration of [ \int {\frac{{{{\sin }^6}x + {{\cos }^6}x}}{{{{\sin }^2}x{{\cos }^2}x}}} dx]
~[NCERT Exemp. Q. 23,Page 164 ]

What is the integration of \[ \int {\frac{x}{{{x^4} – 1}}} dx\] ~~~~~[NCERT Exemp. Q. 18,Page 164 ]

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

What is the integration of \[\int {\frac{{(\cos 5x + \cos 4x)}}{{1 – 2\cos 3x}}} dx\] ~~~~~[NCERT Exemp. Q. 22,Page 164 ]

What is the integration of \[\int {\frac{{{{\sin }^{ – 1}}x}}{{{{\left( {1 – {x^2}} \right)}^{3/4}}}}} dx\] ~~~~~[NCERT Exemp. Q. 21,Page 164 ]

What is the integration of \[ \int {\sqrt {2ax – {x^2}} } dx\] ~~~~~[NCERT Exemp. Q. 20,Page 164 ]

What is the integration of \[ \int {\frac{{{x^2}}}{{1 – {x^4}}}} dx\] ~~~~~[NCERT Exemp. Q. 19,Page 164 ]

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

What is the integration of \[ \int {\frac{{3x – 1}}{{\sqrt {{x^2} + 9} }}} dx\] ~~~~~[NCERT Exemp. Q. 16,Page 164 ]

Let \[ I = \int {\frac{{3x – 1}}{{\sqrt {{x^2} + 9} }}} dx\] \[I = \int {\frac{{3x}}{{\sqrt {{x^2} + 9}…

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