$\int_0^a f(x) \, dx = $

  • A
    $\int_0^a f(a + x) \, dx$
  • B
    $\int_0^a f(2a + x) \, dx$
  • C
    $\int_0^a f(x - a) \, dx$
  • D
    $\int_0^a f(a - x) \, dx$

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$\int_{1/2}^{2} \frac{1}{x} \sin \left( x - \frac{1}{x} \right) dx = $

$\int\limits_{\frac{1}{2}}^2 \frac{1}{x} \sin \left( x - \frac{1}{x} \right) dx$ નું મૂલ્ય કેટલું થાય?

ધારો કે $f(x) = \int_{0}^{x} g(t) dt$,જ્યાં $g$ એ શૂન્યતર યુગ્મ વિધેય છે. જો $f(x+5) = g(x)$ હોય,તો $\int_{0}^{x} f(t) dt$ ની કિંમત શોધો.

નિશ્ચિત સંકલનના ગુણધર્મોનો ઉપયોગ કરીને,$\int_{-5}^{5}|x+2| d x$ સંકલનનું મૂલ્ય શોધો.

$\int\limits_{\frac{1}{2}}^2 {\frac{1}{x}{{\tan }^{2015}}\left( {x - \frac{1}{x}} \right)dx} $ ની કિંમત શોધો.

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