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  • Please Solve R.D.Sharma Class 12 Chapter 18 Indefinite Integrals Exercise Revision Exercise Question 120 Maths Textbook Solution

Please Solve R.D.Sharma Class 12 Chapter 18 Indefinite Integrals Exercise  Revision Exercise Question 120 Maths Textbook Solution

Answers (1)

Answer: I=e^{x} \frac{1}{\tan ^{2} x}+C

Hint: to solve this equation, we have to break the \left(1+x^{2}\right)

Given: \int e^{x} \frac{(1-x)^{2}}{\left(1+x^{2}\right)^{2}} d x

Solution:

I=\int e^{x} \frac{\left(1+x^{2}-2 x\right)}{\left(1+x^{2}\right)^{2}} d x

I=\int e^{x} \frac{1}{1+x^{2}}-\frac{2 x}{\left(1+x^{2}\right)^{2}} d x \ldots \int e^{x}\left(f^{\prime}(x)+f(x) d x=e^{x} f(x)+C\right.

I=e^{x} \frac{1}{1+x^{2}}+C

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