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  • Need solution for RD Sharma maths class 12 chapter 19 Definite Integrals exercise Multiple choice question 44

Need solution for RD Sharma maths class 12 chapter 19 Definite Integrals exercise Multiple choice question 44

Answers (1)

Answer:

\int_{a}^{b} f(x+c) d x

Hint:

To solve this \int_{a}^{b} f(x) d x   formula is used.

Given:

\int_{a+c}^{b+c} f(x) d x

Explanation:

\int_{a+c}^{b+c} f(x) d x

\begin{aligned} &=f[x]_{a+c}^{b+c} \\ \\ &=f(b+c)-f(a+c) \end{aligned}

Now, solving option (b),

\begin{aligned} &\int_{a}^{b} f(x+c) d x \\\\ &=[f(x+c)]_{a}^{b} \\\\ &=f(b+c)-f(a+c) \end{aligned}

Hence, option (b) is correct.

 

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