9 ∫ 4 1 √ X D X

Question

\[\int\limits_4^9 \frac{1}{\sqrt{x}} dx\]

Solution

\[Let I = \int_4^9 \frac{1}{\sqrt{x}} d x . Then, \]
\[I = 2 \int_4^9 \frac{1}{2\sqrt{x}} d x\]
\[ \Rightarrow I = 2 \left[ \sqrt{x} \right]_4^9 \]
\[ \Rightarrow I = 2\left( 3 - 2 \right)\]
\[ \Rightarrow I = 2\]

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Definite Integrals

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Chapter 19: Definite Integrals - Exercise 20.1 [Page 16]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12

Chapter 19 Definite Integrals
Exercise 20.1 | Q 1 | Page 16

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