$\int {13^x} \, dx$ क्या है?

  • A
    $\frac{13^x}{\log 13} + c$
  • B
    $13^{x+1} + c$
  • C
    $14x + c$
  • D
    $14^{x+1} + c$

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माना $f(x)$,$\cos^3 x$ का एक अनिश्चित समाकल है।
कथन $1$: $f(x)$,$\pi$ आवर्तकाल का एक आवर्ती फलन है।
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यदि $\int \frac{\cos 3x}{\sin x} dx = p \cos 2x + q \log |\sin x| + C$ है,तो $p + q =$ . . . . . . .

$\int \frac{x - 2}{x^2 - 4x + 3} dx = $

$\int \frac{\cos 2x - 1}{\cos 2x + 1} dx = $

यदि $\int \frac{f(x) \, dx}{\log \sin x} = \log \log \sin x$ है,तो $f(x) = $

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