## Related questions with answers

Question

Use technology to approximate the given integrals with Riemann sums, using (a) n=10, (b) n=100, and (c) n=1,000. Round all answers to four decimal places. $\int_{2}^{3} \frac{2 x^{1.2}}{1+3.5 x^{4.7}} d x$

Solution

VerifiedAnswered 1 month ago

Answered 1 month ago

Step 1

1 of 4We will be using **Octave** , a free software similar to Matlab.

**a.**

The code that computes the left Riemann sum is

```
n = 10;
a = 2;
b = 3;
dx = (b-a)/n;
grid = a:dx:b-dx;
left_r_sum = 0;
for i = 0:n-1
left_r_sum = left_r_sum+(2*grid(i+1)^(1.2))/(1+3.5*grid(i+1)^(4.7));
endfor
left_r_sum = left_r_sum*dx
```

The result is

$\int_2^3 \dfrac{2x^{1.2}}{1+3.5x^{4.7}}\dd{x} \approx 0.0275$

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