Solve by separating variables. Immediate integral. q' – q²a³ = x3 2•3

Q: (In 1ºx+ 4lnx) *dx

A: Given: - The integral is, ∫(ln10x+4ln(x))8dxx To find: - The solution of the given integral. include…

Q: dx 4. 4+ 3Vx

A: To solve∫x4+3xdx

Q: Sx'V16 + x* dx

A: Given,          ∫x316+x2dx

Q: Solve the integral: Seln(2x² + 3x−4)³ (4x + 3)dx

A:

Q: Solve S 3x? e on 1x by using integration by parts

A: Given ∫3x3e3xdx solve integral using integration by parts

Q: S (x² – 12x + 100)(6 – x)dx -

A: We can solve as follows

Q: x-1/2 d) -dz e) 5e5x 2x1/2 x-5/2 dx x-3/2 e5x f)

A:

Q: S (3 – x)°x*dx

A:

Q: 2) Solve the following integral dx xV25x² – 2 V25x2

A:

Q: Q4: Solve the following integrals:- dx ³-2x² (1) dx (2) √ √2√9-1² (3) fx² sinxdx (cos-14x)² 1-16x²…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: dy dx -3J2

A: We have to solve given problem:

Q: What change of variables would you use for the integral S (4 – 7x)-6 dx?

A:

Q: 4. dx 3. 2

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

Q: Sx² sin x dx

A:

Q: Solve the integral: Seln(2x² + 3x − 4)³ (4x + 3) dx

A:

Q: S. (3-2xtx²) dx

A:

Q: Find the indetinite integral S(8x2-12x+7)dx

A: Given integral is By using the result of integration we get

Q: Q7. Solve the following improper integrals: 2x 00 dx (i) (ii) x* +1 (x² +1)2

A:

Q: Solve the equation by Cauchy's integral formula. ez dz z - 5

A:

Q: 9. /4x – x² dx

A:

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

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

Q: dx (apply the properties on how to solve improper integrals 1 – x²

A: Given query is to find the value of the integral.

Q: 2 x – 4 dx .2 1

A:

Q: s dx 3x²+2x+5

A:

Q: x' +4x + 3 dx x* + 5.x? + 4

A:

Q: Solve for the following integral: 1 -dx (e2x – 4)5/2

A: I=∫1(e2x-4)52  dxu=-2xdx=-12 duI=-12 ∫due-u-452v=e-u −4dv=-e-u du-dv(v+4)=duI=12∫1v52 (v+4) dv

Q: S sin Vx dx

A:

Q: dx 2x² 2. + 6

A: Given ∫4x2x2+6dx In order to solve the given integration first substitute 2x2+6=u and then proceed.…

Q: dx xV1 – x² 2

A:

Q: dx -2 (5-4x- x²)2

A:

Q: Evaluate the integrals So 2 log2 (x+2) dx (x+2)

A:

Q: dx 2 28 — 12х — х

A:

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

A:

Q: 2: Solve the following integrals: - 7x² +14x+15 (x²+3)(x+7) dx ; 1) S

A: Given: ∫7x2+14x+15x2+3x+7dx

Q: dx (b) . +2) (x +3)

A:

Q: 24 S2−3x√1 + y² dydx 0

A: To solve the following iterated integral.∫02∫x24-3x1+y2 dy dx

Q: Find the integral ∫(x3 + x)5(3x2 + 1) dx.

A: we have to find the integral of ∫(x3 + x)5(3x2 + 1) dx.

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

A:

Q: 2 16 dx 16 – x2

A: To find the integration

Q: given 3 +3 dz where A J 2x+1 -2x²+X+) and B are integration. 2 and 1 Pespecti vely. Solve the

A:

Q: 1 1 du 3 y3 + 3y2+ 4 и

A:

Q: 3 Sösin(1|3 – 2x|)dx

A:

Q: dx xVx - 1 х —

A:

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

A: Answer

Q: dx 28 – 12x – x X

A:

Q: |x| dx 1–x²

A:

Q: dx 나) | 10-10x

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

Q: Find the the integrals: 3 - 2s ds

A:

Q: S*Sx² sin(xy) dydx

A:

Q: (3x+5) dx x3 –x² –x+1

A: Consider the provided question,