Evaluate the following integral using trigonometric substitution. Integral from 7 StartRoot 49 - x2 EndRoot dx
1. What substitution will be the most helpful for evaluating thisintegral?
2. Find dx?
3. Rewrite the given integral using substitution.

Step-by-step explanation:

1. Given the integral function , using trigonometric substitution, the substitution that will be most helpful in this case is substituting x as i.e .

All integrals in the form are always evaluated using the substitute given where 'a' is any constant.

From the given integral, where a = 7 in this case.

The substitute will therefore be  

2.) Given

cross multiplying

3.) Rewriting the given integral using the substiution will result into;

351°f

step-by-step explanation:

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a