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  • Need solution for RD Sharma Maths Class 12 Chapter 18 Indefiite Integrals Excercise Fill in the Blanks Question 4

Need solution for RD Sharma Maths Class 12 Chapter 18 Indefiite Integrals Excercise Fill in the Blanks Question 4

Answers (1)

best_answer

Answer:

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

Hint:

Solve this integration with standard formulas.

Solution:

\begin{aligned} &I=\int\left(e^{2 \log x}+e^{x \log 2}\right) d x \\ &I=\int\left(e^{\log x^{2}}+e^{\log 2^{x}}\right) d x \end{aligned}

I=\int\left(x^{2}+2^{x}\right) d x \quad\quad\quad\quad\quad\quad {\left[e^{\log a}=a\right]} \\\\

I=\frac{x^{3}}{3}+\frac{2^{x}}{\log 2}+c \quad \quad \quad \quad \quad \quad \quad {\left[\int a^{x} d x=\frac{a^{x}}{\log a}+c\right]}

 

 

 

 

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