∫ E M Sin − 1 X √ 1 − X 2 D X - Mathematics

$\int \frac{e^{m \sin^{- 1} x}}{\sqrt{1 - x^{2}}}$ dx

Sum

$\int \frac{e^{m \sin^{- 1} x}}{\sqrt{1 - x^{2}}}$ dx

$Let \sin^{- 1} x = t$
$\Rightarrow \frac{1}{\sqrt{1 - x^{2}}} d x = d t$
Now, $\int \frac{e^{m \sin^{- 1} x}}{\sqrt{1 - x^{2}}}$ dx

$= \int e^{m t} \cdot d t$
$= \frac{e^{m t}}{m} + C$

$\int \frac{e^{m \sin^{- 1} x}}{m}}$ dx

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Chapter 19: Indefinite Integrals - Exercise 19.09 [Page 59]

Chapter 19 Indefinite Integrals
Exercise 19.09 | Q 50 | Page 59

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