Advertisements
Advertisements
प्रश्न
If \[x=g(t)\] and \[dx=g'(t)dt\], which formula represents integration by substitution?
पर्याय
\[\int f(x)\,dx=\int f(g(t))g'(t)\,dt\]
\[\int f(x)\,dx=\int f(t)g(t)\,dt\]
\[\int f(x)\,dx=\int f(g(t))\,dt\]
\[\int f(x)\,dx=\int g(f(t))f'(t)\,dt\]
MCQ
Advertisements
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 \[t\].
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
