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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)
What else can I help you with?
What is the square root of 50 plus the square root 18 divided by the radical of 4?
(7*sqrt(2))/2 (Seven time the square root of 2, divided by two)
How do you integrate the integral of quantity of x plus 2 divided by x squared plus x plus 1?
3
What is the integral of 2x square plus 4x minus 3 divided by x plus 2?
If you mean integral[(2x^2 +4x -3)(x+2)], then multiply them out to get: Integral[2x^3+8x^2+5x-6]. This is then easy to solve and is = 2/4x^4+8/3x^3+5/2x^2-6x +c
The indefinite integral of x2 divided by 4 plus 16?
x3 /12 + 16x + c
What is the integral of 1 divided by the quantity 1 plus the square of x with respect to x?
2
What is the integral of 1 divided by the square root of the quantity 1 plus the square of x with respect to x?
2
What is the square root of 3 divided by 2 plus the square root of 3 divided by 2?
2 times the Square root of 3 + 4
How can four 4 equal 11?
44 divided by (the square root of 4 plus the square root of 4) or 4 divided by point 4 plus 4/4
What is the integral of x divided by x plus 1?
x/(x+1) = 1 - 1/(x + 1), so the antiderivative (or indefinite integral) is x + ln |x + 1| + C,
What number divided by 3 plus 5 is 2?
Seven.
How do you integrate square root of x3 plus 2?
This integral is a bit complicated to try and type here, so I've included a link to a better representation of it below, under "related links". Also, I assume you do not mean to include the "plus 2" in the square root, as the integral becomes considerably more complicated then.
Why can 6 plus square root of 30 divided on 2 be written as 2 multiplied square root of 2?
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