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प्रश्न
If \[x=g(t)\] and \[dx=g'(t)dt\], which formula represents integration by substitution?
विकल्प
\[\int f(x)\,dx=\int f(g(t))g'(t)\,dt\]
\[\int f(x)\,dx=\int f(t)g(t)\,dt\]
\[\int f(x)\,dx=\int f(g(t))\,dt\]
\[\int f(x)\,dx=\int g(f(t))f'(t)\,dt\]
MCQ
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उत्तर
After putting \[x=g(t)\], the differential becomes \[dx=g'(t)dt\]. Thus both the function and the differential must be expressed in terms of \[t\].
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