## RD Sharma Solutions for Class 12 Maths Chapter 20 - Definite Integrals - Free PDF Download

## FAQs on RD Sharma Class 12 Maths Solutions Chapter 20 - Definite Integrals

**1. What is the Geometric Interpretation of Definite Integrals?**

The geometric interpretation of the definite integral is related to the area. The definite integral ∫_{a}^{b} f(x)dx is the area of the region bounded by the curve y = f (x), the x-axis and the ordinates x = a and x = b.

**2. Can the Upper Limit be Less than the Lower Limit of Integration?**

There is no such restriction. The upper limit of the integration can be smaller than the lower limit of the integration. Collectively, we can call the upper and lower limit the interval of integration.

**3. What Happens to the Definite Integral When we Interchange the Upper and Lower Limits of Definite Integral?**

Let F(x) be the antiderivative of f(x), then

∫_{a}^{b} f(x)dx = F(b) - F(a)

and ∫_{a}^{b} f(x)dx = F(a) - F(b) = - ( F(b) - F(a) ) = - ∫_{a}^{b} f(x)dx

Therefore on interchanging the limits of the integration the magnitude of result remains the same, but the sign is reversed. For example

∫_{1}^{2} x^{2}dx = [x^{3}/3]_{1}^{2} = (4 - 1)/3 = 1

and ∫_{1}^{2} x^{2}dx = [x^{3}/3]_{2}^{1} = (1 - 4)/3 = -1

**4. How to download RD Sharma Solutions for Class 12 Maths Chapter 20 - Definite Integrals?**

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**5. How to prepare RD Sharma for Class 12 Maths Chapter 20 - Definite Integrals?**

To study RD Sharma Class 12 Maths Chapter 20 - Definite Integrals, first read the text given in the book. Then solve the examples. Once you are done with the examples, solve the exercises. If you get stuck while solving RD Sharma Class 12 Maths Chapter 20 - Definite Integrals questions, try them again. If you are still unable to figure it out, you can take the help of RD Sharma Solutions for Class 12 Maths Chapter 20 - Definite Integrals uploaded on our website.

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