\[\int_{{}}^{{}}{\frac{{{e}^{x}}(x+1)}{{{\cos }^{2}}(x{{e}^{x}})}dx=}\] [Roorkee 1979; MP PET 1995; Pb. CET 2001]

\[\sec (x{{e}^{x}})\tan (x{{e}^{x}})+c\]

\[\int_{{}}^{{}}{\frac{{{e}^{x}}(x+1)}{{{\cos }^{2}}(x{{e}^{x}})}dx=}\

1.	\[\int_{{}}^{{}}{\frac{{{e}^{x}}(x+1)}{{{\cos }^{2}}(x{{e}^{x}})}dx=}\] [Roorkee 1979; MP PET 1995; Pb. CET 2001]
A.	\[\tan (x{{e}^{x}})+c\]
B.	\[\sec (x{{e}^{x}})\tan (x{{e}^{x}})+c\]
C.	\[-\tan (x{{e}^{x}})+c\]
D.	None of these
Answer» B. \[\sec (x{{e}^{x}})\tan (x{{e}^{x}})+c\]

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\[\int_{{}}^{{}}{\frac{{{e}^{x}}(x+1)}{{{\cos }^{2}}(x{{e}^{x}})}dx=}\] [Roorkee 1979; MP PET 1995; Pb. CET 2001]

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