$\int_0^{2a} f(x) dx - \int_a^{2a} f(x) dx =$

  • A
    $\int_0^a f(x) dx$
  • B
    $-\int_0^a f(x) dx$
  • C
    $-\int_0^{2a} f(x) dx$
  • D
    $\int_0^{a/2} f(x) dx$

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$\int_{ - 1}^1 {\frac{{\sin x - {x^2}}}{{3 - |x|}}\,dx} $ ની કિંમત શોધો.

$\int_0^{\frac{\pi}{2}} \frac{\sin^2 x}{\sin x + \cos x} dx = $

ધારો કે ${I_1} = \int_a^{\pi - a} {xf(\sin x)dx}$ અને ${I_2} = \int_a^{\pi - a} {f(\sin x)dx}$,તો ${I_2}$ કોના બરાબર છે?

Difficult
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નીચેનામાંથી કયું સાચું છે?

$\int\limits_{\frac{-\pi}{2}}^{\frac{\pi}{2}} \frac{\sin^2 x}{1 + (2017)^x} \, dx$ નું મૂલ્ય શોધો.

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