HSC Arts 12th Board ExamMaharashtra State Board
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∫4^9 1/sqrtxdx - HSC Arts 12th Board Exam - Mathematics and Statistics

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Question

`∫_4^9 1/sqrtxdx=`_____

(A) 1

(B) –2

(C) 2

(D) –1

Solution

Let `I=∫_4^9 1/sqrtxdx`

`=∫_4^9 x^-(1/2)dx`

`=[x^(1/2)/(1/2)]_4^9=2[sqrtx]_4^9`

`=2(sqrt9-sqrt4)`

`=2(3-2)`

`therefore I=2`

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APPEARS IN

 2015-2016 (July) (with solutions)
Question 4.1.2 | 2.00 marks
Solution ∫4^9 1/sqrtxdx Concept: Properties of Definite Integrals.
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