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Mathematics

Twelve Standard

Test your understanding of this lesson List of some frequently used formula in integration | Part-2:-

1)
\(\int e^{f(x)}dx=\frac{x^{6}}{6}+c\), then f(x) is
  • \(e^{\log_{x}{5}}\)
  • \(x^{5}\)
  • \(e^\frac{1}{{\log_{x}{5}}}\)
  • None of these
2)
If \(f'(x)=sec^{2}x\) and \(f(\frac{\pi}{4})=0\)
  • tanx+1
  • tanx-1
  • tanx
  • None of these
3)
if \(\int f(x)dx=g(x)\) and \(\int f(x)dx=h(x)\) then
  • h(x)+g(x)=constant
  • h(x)-g(x)=constant
  • h(x).g(x)=constant
  • g(x)=h(x)
4)
\(\int f(x)dx=\phi(x),\) then
  • \(f(x)==\phi(x)\)
  • \(\frac{\text{d}}{\text{d}x}(\phi(x))=f(x)\)
  • \(\frac{\text{d}}{\text{d}x}(f(x))=\phi(x)\)
  • f(x)+\phi(x)=constant
5)
If \(\int f(x)dx=\frac{1}{2}f^{2}(x)+c,\) then f(x) is
  • \(x^{2}\)
  • x+c
  • x
  • None of these
Hand draw

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