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Find the indefinite integral of f(x)=(1-x^2)/(1+x^2)

Int() in this case will refer to integralsAnswer is: f(x)=(1-x^2)/(1+x^2)=(2-(1+x^2)/(1+x^2)=-1+2/(1+x^2)=> Int(f(x))=Int(-1+2/(1+x^2))=Int(-1)+2Int(1/(1+x^2))=-x+2tan^-1(x)+C

Answered by Maths tutor
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There are 495 coins in a bottle. 1/3 of the coins are £1 coins. 124 of the coins are 50p coins. The rest of the coins are 20p coins. Work out the total value of the 495 coins

495/3 = 165 => £165 worth of £1 coins
124 x 0.5 = 62 => £62 worth of 50p coins
We know the number of coins that are NOT 20p coins. Therefore, we can subt...

SB
Answered by Sim B. Maths tutor
24830 Views

25* 3/2

253/2= 25(3x 1/2)(251/2)3= (square root of 25)3(5)3= 125

AB
Answered by Aisha B. Maths tutor
3520 Views

Given that y= x/(2x+5), find dy/dx

Is it integration or differentiation? Differentiation What rule do we use? Since it's a fraction, use the quotient rule Is the rule in the formula book? Yes Identify what u and v equal too. u = x and v = ...

SA
Answered by Salma A. Maths tutor
5002 Views

Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x^(2) + y^(2) = 5

If a line is a tangent to a circle, it will have exactly one point where the line intersects the circle. Therefore, when we set the equation of the straight line equal to the equation of the circle, we sh...

RH
Answered by Rawdah H. Maths tutor
26907 Views

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