MATHEMATICS-I
95
0 n x n 1e x dx 0
I n nI n1 Also I n 1 (n 1) I n 2 I n2 (n 2) I n3 Multiplying all these results
I n n(n 1)(n 2).......2.1.I 0
I 0 e x dx e x
0
1
0
I n n! 3.4.1
Self Assessment Question – II
1.
Reduction formula for
cos
n
xdx
…………………………………………………………………………………………….. …………………………………………………………………………………………….. Ans:
In
cos n1 x sin x n 1 I n2 n n 2
2.
Evaluate :
sin
7
xcox5 xdx
0
…………………………………………………………………………………………….. …………………………………………………………………………………………….. Ans:
1 120
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