If I _{ m }=\int x^{ m } \cos n x d x = g (x)-\frac{ m ( m -1)}{ n ^{2}} I _{ m -2}, then g (x)=

Correct Answer is : xmsinnxn+mn2xm−1cosnx

{x^msin\,n\,x}/n+{m(m-1)x^{m-1}\cos\,n\,x}/n^2

{x^mcos\,n\,x}/n+{x^{m-1}m(m-1)\sin\,n\,x}/n^2

m/nsin\,n\,x+m/n^2\,\,x^{m-1}\cos\,n\,x

{x^msin\,n\,x}/n+m/n^2x^{m-1}\cos\,n\,x

TS EAMCET 11-Sep-2020 Shift 2 Solved Paper

Section: Mathematics

Question : 73 of 160

Marks: +1, -0

If Im=∫xm‌cos‌n‌x‌d‌x =g(x)−‌

m(m−1)

Im−2, then g(x)=

Go to Question:

Prev Question

Next Question