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  • Please Solve RD Sharma Class 12 Chapter 19 Definite Integrals Exercise Revision Exercise Question 45 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 19 Definite Integrals Exercise Revision Exercise Question 45 Maths Textbook Solution.

Answers (1)

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Answer:  2-\sqrt{2}

Hint: To solve this equation we will split the x

Given:  \int_{0}^{15}\left[x^{2}\right] d x

Solution: I= \int_{0}^{15}\left[x^{2}\right] d x

\begin{aligned} &I=\int_{0}^{\frac{3}{2}}(x)^{2} d x \\ & \end{aligned}

I=\int_{0}^{1} 0 d x+\int_{1}^{\sqrt{2}} 1 d x+\int_{\sqrt{2}}^{\frac{3}{2}} 2 d x

\begin{aligned} &I=0+[x]_{1}^{\sqrt{2}}+[2 x]_{\sqrt{2}}^{\frac{3}{2}} \\ & \end{aligned}

I=(\sqrt{2}-1)+(3-2 \sqrt{2}) \\

I=2-\sqrt{2}

 

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