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Solution - Evaluate : ∫ex[√(1−x2)sin^−1 x+1/√(1−x2)]dx - Properties of Definite Integrals

Question

Evaluate : `int e^x[(sqrt(1-x^2)sin^-1x+1)/(sqrt(1-x^2))]dx`

Solution

`int e^x[(sqrt(1-x^2)sin^-1x+1)/(sqrt(1-x^2))]dx`

`=int e^x[sin^-1x +1/ (sqrt(1-x^2))]dx`

We know that  `inte^x[f(x)+f'(x)]dx=e^x.f(x)+c`

`=e^x.sin^-1x+c`

 

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APPEARS IN

2014-2015 (March)
Question 4.2.1 | 2 marks
Solution for question: Evaluate : ∫ex[√(1−x2)sin^−1 x+1/√(1−x2)]dx concept: Properties of Definite Integrals. For the courses HSC Arts, HSC Commerce, HSC Commerce (Marketing and Salesmanship), HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General)
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