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Question

Question: \[\frac{1}{(\log a)^{2}}\sin a^{x} + c\]...

1(loga)2sinax+c\frac{1}{(\log a)^{2}}\sin a^{x} + c

A

logsinax+c{logsin}a^{x} + c

B

sinx6mudx(a+bcosx)2=\int_{}^{}{\frac{\sin x\mspace{6mu} dx}{(a + b\cos x)^{2}} =}

C

1b(a+bcosx)+c\frac{1}{b}(a + b\cos x) + c

D

1b(a+bcosx)+c\frac{1}{b(a + b\cos x)} + c

Answer

logsinax+c{logsin}a^{x} + c

Explanation

Solution

1xtan4xsec2x6mudx=\int_{}^{}{\frac{1}{\sqrt{x}}\tan^{4}\sqrt{x}}\sec^{2}\sqrt{x}\mspace{6mu} dx =

2tan5x+c2\tan^{5}\sqrt{x} + c

15tan5x+c\frac{1}{5}\tan^{5}\sqrt{x} + c

25tan5x+c\frac{2}{5}\tan^{5}\sqrt{x} + c