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Calculate ∫ (x+9)/(x^2+25) dx.?

0 votes

Calculate ∫ (x+9)/(x^2+25) dx.?

Explain each step.
asked Feb 10, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The integral is image

Rewrite the integral as image

Consider image

Assume image

Differentiate with respect to image.

image

Substitute image in the integral.

image

Replace image with image.

image.

Step 2:

Consider image.

image

Recall the integral formula:image

Find the integral using above formula.

image

image

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

image.

solution:

image.

answered Feb 10, 2015 by cameron Mentor
edited Feb 10, 2015 by cameron

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