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Fora real number x let [x] denote the largest intger less than or equal to x. The smalleset positive integer n for which the integerint_(1)^(n)[x][sqrt(x]]dx exceeds 60 is- |
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Answer» Solution :`I=underset(1)overset(2)intdx+underset(2)overset(3)int2dx+underset(3)overset(4)int3dx+underset(4)overset(5)int8dx+underset(5)overset(6)int10dx+underset(6)overset(7)int12dx+underset(7)overset(8)int14dx+underset(8)overset(9)int16dx+underset(9)overset(10)int27dx+underset(10)overset(11)int30dx+....` `I=1+2+3+8+10+12+14+16+=66` So n=9 |
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