find the complete integral for equation  p2-q+y2-x2=0

Q: Evaluate the Integrals: ∫ (2x2+3)dx/x(x+1)2

A: Given the integration I=∫2x2+3x(x+1)2dx

Q: Find the indefinite integral ∫ (e−3x + 2e2x + 3) / ex dx

A:

Q: 1 dx (1+x2)2

A: Given:

Q: dz 2+2vz

A: The given integral,       ∫dz2+2z

Q: Find the indefinite integral.

A: To evaluate the integral: ∫1x2-4dx Solution: Let substitute x=2secθ. dxdθ=2secθ tanθdx=2secθ tanθ dθ…

Q: Find the indefinite integral. Solution in handwritten. 1. f =dx /1+x4

A:

Q: Find the integral of x^2 * cos(4x) dx.

A: To compute the indefinite integral.

Q: Find the integral ∫ x+1 / (x−2)3 / dx.

A:

Q: Find the integral. Show complete solution. x+4 dx X-4 1.

A: ∫x+4x-4dx

Q: Find the indefinite integral.

A:

Q: Find the indefinite integral ∫ dx/√(1 − 4x2)

A: Consider the integral, ∫ dx/√(1 − 4x2) Let f(x) = 1/√(1-4x2) By using the trigonometric…

Q: 4. dx 3. 2

A: Given: I=∫24x3-4x2dx We know that ∫xndx=xn+1n+1+c…

Q: dx (1 – x3

A:

Q: Find the indefinite integral.

A:

Q: S dx 2.

A:

Q: Solve the integral. 1 dx 6. 3x2 + 2x + 1

A: Given     ∫ 13x2+2x+1 dx

Q: dx 15. x1+(In x)*]

A: Given:       ∫10dxx1+lnx2       =∫101x1+lnx2dx substitute u=ln x→dudx=1x→dx=xdu…

Q: Find the length of the arc of x2 + y2 = 64 from x = -1 to x = -3, in the second quadrant. (Solve…

A: We need to find arc length.

Q: x3/2 Vx+1

A:

Q: Evaluate the integrals

A: Given integral to evaluate ∫-44xdx The modulus  function is given by  x=x        if x≥0-x    if…

Q: [x² In x dx

A:

Q: Find the integral S(9x² + 5x* + 2)dx

A:

Q: Find the indefinite integral. ∫( (xe2x)/ (2x + 1)2) dx

A: Given Integral, ∫xe2x(2x+1)2dx We use the integration by parts rule to solve this integration.…

Q: 2 x – 4 dx .2 1

A:

Q: Find the indefinite integral. ∫5xe−x2 dx

A:

Q: Calculate the definite integral of: 2x + 4 dx

A: compute the definite integral let I=∫242x+4 dx

Q: Evaluate the definite integral.

A: ∫15x2x-1 dx Consider, ∫x2x-1 dx Put, 2x-1=t⇒21-0=dtdx⇒2 dx=dt⇒dx=dt2 Therefore, ∫x2x-1 dx=∫t+12tdt2…

Q: Find the Indefinite Integral. dx 12-3x

A:

Q: Find the integral [x(4x+3)'dx .

A: We have to solve the integral.

Q: -2 2x + 3 dx x2 + 3x +1 1

A:

Q: s/4 dx 2- 1+tanx 3.

A:

Q: Evaluate the integrals.

A: The given integral is ∫022x+13 dx. Evaluate as follows.

Q: dx 2 (1+3x)2

A: We will find the integral as following.

Q: Find the integral 13x³ + 6x² + 7x + 2 dx= (x + 1)²(x² + 1)

A:

Q: Find the integral (4x2 – 21x) dx (x – 3) (2x + 3)

A: The partial fraction decomposition or partial fraction expansion of a rational fraction is an…

Q: Solve the integral. x +1 -dx 4. 4 + x2

A: Our Aim is to integrate the expression given below:-∫x+1x2+4dx -(i)

Q: Find the indefinite integral. dx | 7x2 +2

A: Given, I=∫x7x2+2dx

Q: Find the integral -3x2 + 9x + 21 dx (x + 2)²(2æ + 1) ||

A:

Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

Q: 3. Find the integral. 2x dx x2 + 10x + 29 а.

A:

Q: Find the indefinite integral ∫ (5 − ex) / e2x dx

A: We have find indefinite integral: ∫5-exe2xdx Separating each terms of the rational function of the…

Q: I need help solving the integral of the problem below.    ∫(√x+∛x)dx

A: Given integral can be written as

Q: 2. S", sec t dt -T/4

A:

Q: In -dx x²

A: This is a problem of integration. Based on the general formula of integral by parts we will solve…

Q: Vx2 – 4 dx x2

A:

Q: Evaluate the integral of ex*+1 2x dx.

A:

Q: In x dx

A: Given: ∫lnxx2dx Integrate the given integral using the integration by parts formula.

Q: x4 – x³ – x – 1 dæ - x3 – x² -

A:

Q: 2x +3 dx x² + 3x +1 1.

A: Solving the problem by method of definite integral.

Q: dx 나) | 10-10x

A: Since you have asked multiple question, we will solve the first question for you. If you want any…