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  • Need Solution for R.D.Sharma Maths Class 12 Chapter 18 Indefinite Integrals Exercise Revision Exercise Question 96 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 18 Indefinite Integrals Exercise Revision Exercise Question 96 Maths Textbook Solution.

Answers (1)

Answer:

e^{\mathrm{x}}\left[x^{2}+1\right]+c

Hint:

You must know about integration of I and II.(ILATE)

Given:

\int(x+1)^{2} e^{x} d x

Solution:

\int\left(x^{2}+1+2 x\right) e^{x} d x

   \int\left(x^{2} e^{x}+e^{x} 1+2 x e^{x}\right) d x

e^{x}\left(x^{2}-2 x+2\right)+e^{x}+e^{x}(2 x-2)            \int 1.11 d x=I \int 11 d x-\int \frac{d}{d x} I \int \text { IIdx } \quad\left(\int e^{x}=e^{x}\right)

e^{x}\left[x^{2}-2 x+2+1+2 x-2\right]+c\left(\int e^{x}=e^{x}\right)

e^{x}\left[x^{2}+1\right]+c

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