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

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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