HSC Science (General) 12th Board ExamMaharashtra State Board
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Solution - Evaluate ∫ sin√x/√x dx - HSC Science (General) 12th Board Exam - Mathematics and Statistics

Question

Evaluate: `intsinsqrtx/sqrtxdx`

 

Solution

`Let I=int(sinsqrtx/sqrtx)dx`

`Let sqrtx=t`

`1/(sqrtx)=dt/dx`

`1/sqrtxdx=2dt`

`therefore I=2intsintdt`

`=-2cost+C`

`=-2cos(sqrtx)+C`

  Is there an error in this question or solution?

APPEARS IN

 2016-2017 (March) (with solutions)
Question 4.2.3 | 2 marks

Video TutorialsVIEW ALL [1]

Reference Material

Solution for question: Evaluate ∫ sin√x/√x dx concept: Evaluation of Definite Integrals by Substitution. For the courses HSC Science (General) , HSC Science (Computer Science), HSC Arts, HSC Science (Electronics)
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