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(1+x)/(x^2+1)
Let x^2+1 =u
2x dx = du
x dx = du/2
(1+x) / (x^2+1) = 1/(x^2+1) + x / (x^2+1)
Integral of x dx / (x^2+1) = (1/2) integral du / u = 1/2 ln|u| --(1)
Integral of 1 / (x^2+1) = arctan(x) --(2)
Adding (1) and (2)
Integral (1+x)/(x^2+1) = (1/2) ln(x^2+1) + arctan(x) + C
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Given 3x3 plus 4x2 plus x plus 7 is divided by x2 plus 1?
Given 3x3 + 4x2 +x + 7 is divided by x2 + 1, find the results:
What is X3 plus X2 plus X plus 1 divided by X 1?
2x2+7/x1
What is x2 plus x2 plus x2?
x2 + x2 + x2 = (1 + 1 + 1)x2 = 3x2
How do you Factor x cubed plus one divided by x plus one?
x3 + 1 = (x + 1)(x2 - x + 1) The x + 1's cancel out, leaving x2 - x + 1
What are the quotient and remainder when x cubed plus 3x squared plus 6x plus 1 is divided by x plus 1?
x3+3x2+6x+1 divided by x+1 Quotient: x2+2x+4 Remaider: -3
Quotient and remainder of 3X4 plus 2X3 minus X2 minus x minus 6 divided by X2 plus 1?
(3x4 + 2x3 - x2 - x - 6)/(x2 + 1)= 3x2 + 2x - 4 + (-3x - 2)/(x2 + 1)= 3x2 + 2x - 4 - (3x + 2)/(x2 + 1)where the quotient is 3x2 + 2x - 4 and the remainder is -(3x + 2).
What is xcubed minus 7xsquared plus 8x plus 16 divided by x plus 1?
Answer is x2 -6x+14 with remainder 2
X4-2x3 plus 2x2 plus x plus 4 divided by x2 plus x plus 1 solutions?
(x4 - 2x3 + 2x2 + x + 4) / (x2 + x + 1)You can work this out using long division:x2 - 3x + 4___________________________x2 + x + 1 ) x4 - 2x3 + 2x2 + x + 4x4 + x3 + x2-3x3 + x2 + x-3x3 - 3x2 - 3x4x2 + 4x + 44x2 + 4x + 40R∴ x4 - 2x3 + 2x2 + x + 4 = (x2 + x + 1)(x2 - 3x + 4)
X2 plus 1 divided by 2x4 plus 4x3 -x2 plus 4x-3?
You can work this out with long division, by checking to see if (x2 - 1) is a factor of (2x4 + 4x3 - x2 + 4x - 3). It is. Unfortunately, the WikiAnswers system is somewhat limited in depicting things such as long division, so we won't be able to represent it here. In short though, (2x4 + 4x3 - x2 + 4x - 3) / (x2 + 1) is equal to 2x2 + 4x - 3. which means that: (x2 + 1) / (2x4 + 4x3 - x2 + 4x - 3) = (x2 + 1) / (x2 + 1)(2x2 + 4x - 3) = 1 / (2x2 + 4x - 3)
What is the answer to x cubed plus 3x squared plus 3x plus 2 divided by x plus 2?
x3+3x2+3x+2 divided by x+2 equals x2+x+1
What does x squared plus 14 plus 48 divided by x plus 8?
(x2 + 14 + 48 / (x + 8) = (x2 + 62) / (x + 8) =(x2 + 8x - 8x - 64 + 126) / (x + 8) = x - 1 + 126/(x+8)
X plus 4 x plus 2 simplfied?
x4 +x2 =x2 (x2+1)
