Question: The function F(r) is defined by By considering d(cos x sin r 1 x)/dx, or otherwise, show that F(r) = 7/2 Jo sin'x dx

The function F(r) is defined by

F(r) = 7/2 Jo sin'x dx r>-1

By considering d(cos x sinr – 1x)/dx, or otherwise, show that

(r + 1)fsin'x dx = cos x sintx + (r + 2)fsin+2x dx and deduce that (r + 1)F(r) = (r + 2)F(r + 2). Show that

F(r) = 7/2 Jo sin'x dx r>-1

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