Question

Calculate ∫ (x+9)/(x^2+25) dx.?

Explain each step.

Answer 1

Step 1:

The integral is

Rewrite the integral as

Consider

Assume

Differentiate with respect to .

Substitute in the integral.

Replace with .

.

Step 2:

Consider .

Recall the integral formula:

Find the integral using above formula.

Substitute the results of equation(2) and equation(3) in equation(1).

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solution:

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