$\int \frac{1}{1+\cos 8x} dx$ નું મૂલ્ય શું છે?

  • A
    $\frac{\tan 2x}{8}+c$
  • B
    $\frac{\tan 8x}{8}+c$
  • C
    $\frac{\tan 4x}{4}+c$
  • D
    $\frac{\tan 4x}{8}+c$

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નીચેના વિધાનો $(A)$ અને $(B)$ ધ્યાનમાં લો:
$(A) \int_a^b \frac{d}{d x}(f(x)) d x = \frac{d}{d x} \int_a^b f(x) d x$
$(B) \frac{d}{d x} \left( \int f(x) d x \right) = f(x) + C$
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$\int \frac{\sin ^8 x-\cos ^8 x}{1-2 \sin ^2 x \cos ^2 x} \, dx$

જો $f^{\prime}(x)=x-\frac{5}{x^5}$ અને $f(1)=4$ હોય,તો $f(x)$ શું થાય?

$\int \frac{x^8-9 x^2+18}{x^4-3 x^2+3} d x=$

જો $\int \frac{f(x) \, dx}{\log \sin x} = \log \log \sin x$ હોય,તો $f(x) = $

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