$\int a^x \, da = $

  • A
    $\frac{a^{x+1}}{x+1} + c$
  • B
    $a^x \log_e a + c$
  • C
    $\frac{a^x}{\log_e a} + c$
  • D
    $x a^{x-1} + c$

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$\int \frac{dx}{\sqrt{1 + x} + \sqrt{x}} = $

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નીચેના વિધેયનું $x$ ની સાપેક્ષમાં સંકલન કરો:
$\sin(mx)$

$\int {\sqrt {{{\sin }^2}x} } \,\,dx = \,;\,(x \ne n\pi ,n \in I)$

જો $\int \frac{e^x-1}{e^x+1} dx = f(x) + c$ હોય, તો $f(x)$ ની કિંમત શોધો.

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