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Need solution for RD Sharma Maths Class 12 Chapter 18 Indefiite Integrals Excercise Fill in the Blanks Question 14

Answers (1)

Answer:

-\cos e^{x}+c

Hint:

Simplify the function and then integrate it.

Solution:

I=\int e^{x} \sin e^{x} d x

Let e^{x} =y           …(i)

\begin{aligned} &\Rightarrow e^{x} d x=d y \\ &\Rightarrow I=\int \sin y d y \end{aligned}

\begin{aligned} &I=-\cos y+c \\ &I=-\cos e^{x}+c \end{aligned}

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