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  • Need solution for RD Sharma Maths Class 12 Chapter 18 Indefinite Integrals Excercise Very Short Answers Question 59

Need solution for RD Sharma Maths Class 12 Chapter 18 Indefinite Integrals Excercise Very Short Answers Question 59

Answers (1)

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Answer: 2 x^{\frac{3}{2}}+2 x^{\frac{1}{2}}+c

Hints: You must know about the integration rules

Given: Write Anti derivative of

 \begin{aligned} &\left(3 \sqrt{x}+\frac{1}{\sqrt{x}}\right) \\ &\int\left(3 \sqrt{x}+\frac{1}{\sqrt{x}}\right) d x \\ &\int 3(x)^{\frac{1}{2}} d x+\int(x)^{\frac{-1}{2}} d x \end{aligned}

\begin{aligned} &\frac{3 x^{\frac{1}{2}+1}}{\frac{1}{2}+1}+\frac{x^{\frac{-1}{2}+1}}{\frac{-1}{2}+1}+c \\ &3 . \frac{2}{3} x^{\frac{3}{2}}+2 x^{\frac{1}{2}}+c \end{aligned}

2 x^{\frac{3}{2}}+2 x^{\frac{1}{2}}+c

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