Page 47 - Engineering Mathematics Workbook_Final

Calculus

 1 1
(a) (b)  (a) (b)
2 5015 15015

−  1 1
(c) -  (d) (c) (d)
2 5005 5001
 / 2



275. The value of e − 5x 4 x dx is ______ 280. The value of  cot  d is ______
0 0
 
3  2  (a) (b)
(a) (b) 2 3
2 3
 
  (c) (d)
(c) (d) 2 4
3 2
 x
a
276. The value of   x dxis _________ 281. The value of  1 x 6 dx is ________
+
0 a x 0
a a + 1  
(a) (b) a+ (a) (b)
(ln a ) a (ln a ) 1 3 3 3

a a + 1  
(c) a+ (d) (c) (d)
(ln a ) 1 (ln a ) a 2 2 2
 4 + 5 )
1 x ( 1 x
−
277.  x 6 1 x dx = 2 282. The value of  (1 x ) 15 dx is _____
+
0 0
    1 1
(a) (b) (a) (b)
256 128 5005 5001

  3 1 1
(c) (d) (c) (d)
512 512 1001 10001
1 x 6 283. The length of the arc y = x 3/ 2 , z = 0
278. The value of  − 2 dx =
0 1 x from (0, 0, 0) to (4, 8, 0) is ________
 3 8 3/ 2
(a) (b) (a) ( 10 + ) 1
32 32 27

5 8 3/ 2
(c) (d) 0 (b) ( 10 − ) 2
32 27

1 8 3/ 2 −

279. The value of x 4 (1 5x dx− ) 5 is _____ (c) ( 10 ) 1
27
0

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