If - fx d x-Fx- then - 5 - fx d x-A- 5 F xB- Fx-5C- Fx

The correct option is A 5 F(x)We saw in the properties of integration that ∫ k f(x) dx = k ∫ f(x) dx. The function given to us are in the form k f(x). So, ∫ 5 ...

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Byju's Answer

Standard XII

Mathematics

Geometrical Interpretation

If ∫ fx d x=F...

Question

If $\int f (x) d x = F (x)$ , then $\int 5 \times f (x) d x$ =

5 F (x)

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\frac{F (x)}{5}

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F (x)

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Solution

The correct option is A $5 F (x)$
We saw in the properties of integration that $\int k f (x) d x = k \int f (x) d x$ . The function given to us are in the form k f(x). So, $\int 5 f (x) d x$ will be equal to $5 \int f (x) d x$ .
Now, $\int f (x) d x = F (x)$ . So, we get $\int 5 \times f (x) d x = 5 \int f (x) d x = 5 F (x)$ .

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If ∫f(x)dx=F(x), then ∫5×f(x)dx =

The correct option is A 5F(x)We saw in the properties of integration that ∫kf(x)dx=k∫f(x)dx. The function given to us are in the form k f(x). So, ∫5f(x)dx will be equal to 5∫f(x)dx . Now, ∫f(x)dx=F(x). So, we get ∫5×f(x)dx=5∫f(x)dx=5F(x).

If $\int f (x) d x = F (x)$ , then $\int 5 \times f (x) d x$ =