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What is the integral of 2x plus seven divided by x square plus 2x plus 5?
Wiki User
∙ 12y ago
Hopefully I did this one correctly, if anyone sees an error please correct it. This is the problem:
∫(2x+7)/(x2+2x+5)
I rewrote the integral as:
2∫x/(x2+2x+5) + 7∫1/(x2+2x+5)
Both of these parts of the integral is in a form that should be listed in most integral tables in a calculus text book or on-line. From these tables the integral is the following:
2*[(1/2)ln|x2+2x+5| - (1/2)tan-1((2x+2)/4)] + 7*[(1/2)tan-1((2x+2)/4)]
Combining like terms gives the following:
ln|x2+2x+5| + (5/2)*tan-1((2x+2)/4)
Wiki User
∙ 12y ago
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