5х — 3 dx = 2 ln |æ + 1| + 3 ln |x – 3| + c J (x + 1)(x – 3) -

Q: |Vx+2 – x| dx

A:

Q: 5x2 +20x+6 7 dx χ(x+1)2

A: we have given,

Q: S (x + ¹) ex x²+2x-3 dx

A:

Q: x² – 3x – 7 - dx (x² + x + 2)(2x – 1)

A:

Q: 5x (d) . x²-x-6 dx

A:

Q: Find 5 f" 19 xif [ 15 xx 16 f(3x + 4) dx if Enter the exact answer. f (x) dx = 1.

A: To find the value of given definite integral

Q: For f(x) = x? – 5x - 6, find f(2), f'(2), and f(3) – f(2). f(2) = a. b. f'(2) %3D c. f(3) – f(2) -

A: The given function is fx=x2-5x-6

Q: 2dx x (3(ln x)2 + 12 In r – 15)

A: Indefinite Integration

Q: x² - x + 12 dx x3 + 2x

A:

Q: 13x+5 If S dx = A ln|x| + B In|x – 2| + C, then A + B = x2-2x %3D

A: A indefinite integral, also known as antiderivative, is a function F(x)=∫f(x)dx such that…

Q: x2 + 1 dx (x – 6)(x – 5)2 |

A: To solve the integration of the integrand (x2+1)/(x-6)(x-5)2 , we use partial fraction form.

Q: 2x + 3 If f(x) = then x – 2 dy / (x – 2)² dx ||

A: fx=2x+3x-2

Q: evaluate h(x) = 2x-1/ 3x+1 at the given value of x h(s-5)= ?

A:

Q: Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area…

A: When the given curve y = 9 - x2 intersects the x-axis, we have                y = 9 - x2 = 0…

Q: dx 43. Evalua Jx +2)(x² +4x + 10) te

A: To simplify this integral, we use partial fraction decomposition. Thus,…

Q: Solve (x2 + 1) + 2xy = dy 2 dx x²+1

A:

Q: 5x - 4 dx x3 + 4x2

A:

Q: x² + 1 V3x +1

A: ∫x2+13x+1dxlet u=3x+1dudx=3dx=13dux2=u-129

Q: 1 (x2+2x+ 1) dx -1 16 3 16 0 8 3

A: Given:The integral is

Q: m-1 Evaluate S²x²-1. [In (-²)]" dx 0

A:

Q: Determine F(x) = J (x+1)dx x3+3x2+7x+5

A:

Q: 2x+5 - dx- (x² – 1)(x+2)

A:

Q: x2 + 2 -dx. | (* – 1)(x – 4)(x+2)

A:

Q: x-3 dx V16-x² (16-х2

A: Given,          ∫x-316-x2dx

Q: (4(x2-1) dx x²(x+2)

A: We will use partial fraction here