三 直 Find hp x2² (2 ln (x) – 2) O1² 2x(x)2x-1 2 In (x) +2 In(x)x²= x2 (2 ln (x) + 2) +66

Q: 5x2 +20x+6 7 dx χ(x+1)2

A: we have given,

Q: 12 x² + x dx (x² + 2)(2x – 1) 3

A:

Q: 2 - (4x² – 8x5)(x³ – x6)-8)dx 4х-1

A: Given an integral : I=∫2(4x-1)-4x2-8x5(x3-x6)-8 dx We need to find the integral. Let's begin.

Q: 2 x + 4 dx 3x°+4x- 4 X 3.

A:

Q: (3x²-1) 5x3-5x+13 - dx equals In 15x³5x + 13| + c In 15x³ - 5x + c 5 O 1 In 15x³ - 5x + 13| + c 5 In…

A:

Q: 2x+3 dx x²+3x-5

A:

Q: Solve for x. State your answer In(r+1)+ ln(x- 2)= In(x+ 6) %3D

A: Using the property ln(a) + ln(b) = ln(ab)   ln [(x+1)(x - 2)] = ln (x+6) Comparing both sides…

Q: Evaluate the integral

A: int (3x2-25x+43)dx/((2x+1)(x-2)2) =int (3x2-12x+12-13x+31)dx/((2x+1)(x-2)2)  =int…

Q: 2 3 ln x² dx 13mx 히 X

A: Given problem:- ∫ 3ln(x^2) dx/x

Q: 3x + 10 dx x² + 2x + 5

A:

Q: 2. x+4x²+x-1 dx 1 3+ 2.

A: First simplify the integrand to get the simpler integrand.

Q: 2x + 3 dx x² +3x + 5

A:

Q: (3x + 5) dx 3 2 x³ -x²-x+1

A:

Q: x² + 2x – 1 dx 2x³ +3x2 - 2x

A: The given integral is ∫x2+2x-12x3+3x2-2xdx. Here, we use the partial fraction method.

Q: 2x3 – 9x2 + 11 dx x2 – 4x + 1

A: We know, ∫dxx=lnx ∫xndx=xn+1n+1 for any real number n.

Q: Solve the given equation for x. ln 1x - 2 ln 3 = 0

A: Given that, ln1x-2ln3=0

Q: x3 dx x² + 1

A:

Q: alx) = 3х+4 b(x) =2x-5 с(х)=4x+1 da) = x-7 e(x) =x2-6x+41 f(x) = X2+3x-10

A:

Q: Solve the given equation for x.     ln[(x - 3)(x + 2)] - ln(x + 2)2 - ln 7 = 0

A:

Q: X-1 X +7x+ 10 x+5 1 x + 7x + 10 mplify your answer.)

A: Please refer to the image below

Q: Ln (x+3) = 3.42 What is the value of x ?

A:

Q: 3. . x2 dx (x – 1)(x² + 2x + 1) 4.

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

Q: 3x+4 dx x²+3x+2

A: Let,I=∫3x+4x2+3x+2dxI=∫3x+4(x+2)(x+1)dxLet…

Q: x4 + 5x3 + 20x + 16 - dx 14. x(x2 + 4)

A: Given:∫x4+5x3+20x+16 x(x2+4)2dx

Q: ' (x5–x³– 6x) dx is the same as x²+2 A |(13- 3)dx |(+3)dx В 4x dx x²+2 D x³+x- 8x dx x²+2 E .3 x'+x-

A: Solution: ∫x5-x3-6xdxx2+2

Q: evaluate the integral.

A: To Determine: Integrate

Q: 3X 0 yo ケX-3 2x+1 X+3 Lい

A:

Q: 1000 -4 J zx (1x 10-*(X)(1x10-3) + 200

A:

Q: Algebra Review: Solve for x. 1. 8x = 48 2. 3x +5 = 26 3.5x - 10 = 20

A: We can use algebraic rule addition, subtraction and division

Q: 2 x ×+10メ+3X+36 dx (メー1)(x44

A:

Q: How do I solve for x? ln(x2-1)=3

A: Given,

Q: (x² - 4) dx x² + 2x² + 2x S

A:

Q: x° +4x dx x* +3x +2 4

A:

Q: sinh x 20. 1x1-3 A) 2. B)-2. D) 0.

A:

Q: ln(y^x)y'-5xy=0(solve DE)

A:

Q: Зах x/1+(ln x)² 3.

A:

Q: 13. Find the extrema of f (x) = 2x² ln x – 11x?.

A:

Q: x² + 6x dx O) x3 – 10 – 5x² + 2x)(x² – 6x +9)'

A: From the given problem:   I=∫x2+6xx3-10-5x2+2xx2-6x+9dx...(1)     Now finding the partial fraction:…

Q: 1. X-6 dx x2 – 6x + 8 Jo

A: I have provided solution in step2

Q: x4 + 3x2 + 4 dx (x + 1)²

A: Consider the given: ∫ x4+3x2+4x+12dxOn division: x4+3x2+4x+12=x2−2x+6+−10x−2x2+2x+1∫…

Q: ( x" - 4x* + X +1 dx X² -4 10.

A: ∫x4-4x2+x+1x2-4dx=∫x2x2-4+x+1x2-4dx=∫x2x2-4x2-4+x+1x2-4dx=∫x2dx+∫x+1x2-4 dx=x33+∫x+1x+2x-2 dx

Q: 4x²+3x+2 dx x²(x+1)

A: To integrate the given function.

Q: (3x-3) dx (x²-2x+1)(x²+2x+8)

A:

Q: 2x + 3 (3). dx x2 + 3x + 1

A:

Q: x²+12x+12 dx x3-4x 1.

A:

Q: 4x+10 dx (x-2)(x²–2x+1)

A: The given integral is,

Q: 2x43 dx x* +3x +4)3

A: solutions:-(2)∫2x2-6x+4x-3dx=∫2x(x-3)+4x-3dx=∫2x(x-3)x-3+4x-3 dx=∫2x+4x-3dx=∫2x dx+∫4x-3dx=2x22+4…

Q: 2x-1 = 43x - 5 x 32x-1 find the value of x. Siven that

A:

Q: 23 – x2 + 2x – 2 dx x2 (x2 – 2x + 2)

A:

Q: x² + 3x – 44 c. -dx (x+3)(x+5)(3x – 2)

A: Given integral