$\int {\frac{{{e^{5\log x}} - {e^{4\log x}}}}{{{e^{3\log x}} - {e^{2\log x}}}}\;dx} = $

  • A
    $\frac{{{e^{3x}}}}{3} + c$
  • B
    ${e^3}\log x + c$
  • C
    $\frac{{{x^3}}}{3} + c$
  • D
    આમાંથી કોઈ નહીં

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$\left(\sqrt{x}+\frac{1}{\sqrt{x}}\right)$ નું પ્રતિ-વિકલન (antiderivative) શું થાય?

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

જો $\int \frac{\sqrt{x}}{\sqrt{x}-\sqrt[3]{x}} d x=x+E x^{5 / 6}+D x^{2 / 3}+C x^{1 / 2}+B x^{1 / 3}+A x^{1 / 6}+\log (\sqrt[6]{x}-1)^6+K$ હોય,તો $A+B+C+D+E=$

જો $\int (\sin 2x + \cos 2x) dx = \frac{1}{\sqrt{2}} \sin (2x - c) + a$ હોય,તો $a$ અને $c$ ની કિંમત શું છે?

$\int [(\log_{2} x)^2 + 2 \log_{2} x] dx = $

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