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Let f: R$ – $R be defined as f(x)$ = $ 10x + 7. Find the function g : R $\rightarrow$ R such that gof $ = $ fog $ = $ IR. ~~~~[NCERT Misc.,Q.1, Page 29]

How to integrate $\int_{\pi /4}^{\pi /4} {\log } (\sin x + \cos x)dx$ ~~~~~[NCERT Exemp. Q. 47,Page 166 ]

How to integrate $\int_0^\pi x \log \sin xdx$ ~~~~~[NCERT Exemp. Q. 46,Page 166 ]

How to integrate $\int_0^1 x \log (1 + 2x)dx$ ~~~~~[NCERT Exemp. Q. 45,Page 166 ]

How to integrate $\int_0^{\pi /2} {\frac{{dx}}{{{{\left( {{a^2}{{\cos }^2}x + {b^2}{{\sin }^2}x} \right)}^2}}}} $ ~~~~~[NCERT Exemp. Q. 44,Page 166 ]

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How to integrate $\int {\sqrt {\tan x} } dx$ ~~~~~[NCERT Exemp. Q. 43,Page 166 ]

How to integrate $\int {{e^{ – 3x}}} {\cos ^3}xdx$ ~~~~~[NCERT Exemp. Q. 42,Page 166 ]

How to integrate $\int_{\pi /3}^{\pi /2} {\frac{{\sqrt {1 + \cos x} }}{{{{(1 – \cos x)}^{5/2}}}}} dx$ ~~~~~[NCERT Exemp. Q. 41,Page 166 ]

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