TMUA Official 2021 Paper 1 · Question 15

Official papers

Official 2021 Paper 1 · Q15

Paper 1CalculusSequences & seriesFunctions & graphs

The diagram shows the graph of $y=f(x)$ . The graph consists of alternating straight-line segments of gradient 1 and $-1$ and continues in this way for all values of $x$ .

The function $g$ is defined as

g(x)=\sum_{r=1}^{10} f\left(2^{r-1}x\right)

Find the value of

\int_0^1 g(x)\,\dd x

\frac{1023}{1024}

\frac{1023}{512}

5

10

\frac{55}2

55

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