Chapter 6.4, Problem 49E

To determine

To solve the problem using NINT function.

Answer to Problem 49E

The approximate value of the integral using NINT function is $3.8019$ .

Explanation of Solution

Given information:

Evaluate ${\displaystyle {\int }_0^{10}\frac{1}{3+2\sin x}dx}$ .

Using NINT function, we enter the following syntax on a graphing calculator to obtain the integral value.

  $NINT(1/(3+2\sin x),x,0,10)$

It shows the result $3.8019$ .

Conclusion:

Therefore, the approximate value of the integral using NINT function is $3.8019$ .