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Question : 78 of 160
Marks:
+1,
-0
Solution:
Let
I‌‌=‌| log‌3‌x2‌d‌x |
| log‌3‌x2+log(588−84x+3x2) |
...‌ (i) ‌ ‌‌=‌| log‌3‌x2‌d‌x |
| log‌3‌x2+log‌3(14−x)2 |
‌‌=‌| log‌3(14−x)2‌d‌x |
| log‌3(14−x)2+log‌3(14−(14−x))2 |
‌[f(x)dx=f(a+b−x)dx] I‌‌=‌| log‌3(14−x)2‌d‌x |
| log‌3(14−x)2+log‌3‌x2 |
. . . (ii)
Adding Eqs. (i) and (ii), we get
2I‌‌=‌| log‌3‌x2+log‌3(14−x)2 |
| log‌3(14−x)2+log‌3‌x2 |
dx ‌‌=dx=9−5=4 I‌‌=2
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