B. Evaluate the following integrals: x-9 1) S- dx x2+3x-10

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

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

Q: Q1 - Evaluate the following integral: J (2x2-3x+2) dx (x-1)2 (x-2)

A:

Q: Evaluate the integral. x sec (3x) dx + C

A: Topic = Integration

Q: Evaluate the following integrals: 1.Jx S dx 1-х4 dx VX 2 2.5 3.5² dx X

A:

Q: Evaluate the following integrals. Show your complete solution. 1. S(15x* – 6x² + 2)dx 2. S(VE-)dt

A: The given integral,1. ∫(15x4-6x2+2)dx2. ∫t-1tdt

Q: Q1 - Evaluate the following integrals 2x+5 i. S- dx x²+3x-10

A: We will break it into two parts.

Q: Vx +1 dx Vx – 1 3 3 X,

A:

Q: dx S- VVx+1

A: As per the company's guidelines, we are suppose to answer only first question. Kindly repost the…

Q: Evaluate the following integrals 3x dx (x2 – 4)2 4. dx b) (3x- 2)*

A:

Q: Evaluate the integral: √ S - (9x²+7x) (x−1)(x+1)² dx = ← +C

A: Given; I=∫-9x2+7xx-1x+12dx   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: Evaluate the integral. 3* dx V3* + 4

A:

Q: Evaluate the integral of (x^(3))*(e^(x^2))*dx

A:

Q: Evaluate the given integral 2x +3 -dx- (x + 1) (x – 1)²

A: Integration formulas help to integrate the given fuction. Simplification of the function helps to…

Q: 3. Evaluate the following integral 5x+1 -dx (x-4)(x+2)?

A: Use the partial fraction method 5x+1x-4x+22=Ax-4+Bx+2+Cx+225x+1=Ax+22+Bx-4x+2+Cx-4 Put x=4 21=36A…

Q: (7x-4vx dx 1.

A:

Q: 1 dx x² – 4x + 4

A:

Q: Evaluate the integrals:

A:

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

A:

Q: 1. Evaluate the following integrals: а) . dx 17 + x2 b) . dx xV5x2 – 4

A: we have to evaluate the following integrals: a) ∫dx17+x2 b) ∫dxx5x2-4

Q: Calculate the following integrals: (6X-5)dx 3.1 I = S V3x²-5x+6

A:

Q: Evaluate the given integrals 1 (a)[ -dx 2 -

A: Given that: ∫1x29-x2dx

Q: Find a new variable u in integral

A: The integral ∫4x3x4+510dx=∫u10du. We have to find the new variable u.

Q: Given the integral J6x2 - 4x dx бх2 - 4х

A: Complete the following question involving basic integration techniques. Given the integral…

Q: 2х 2 3 dx ex

A:

Q: Calculate the following integrals-: (2 – 2r² + I dx "9x - 3x + 1 dx 1- 2- 16r - dx 4x² – 4x + 1 3-…

A: As per guidelines we are suposed to answer the first three questions. Please repost the other…

Q: Evaluate only two of the following integrals: -16 In y a) S 8x² sin(4x) dx dy 4/y b) Jg 4Vý

A:

Q: Evaluate the integral : S 8x2+10x-6 (x-1)(x+1)z dx (2—1)(ӕ+1)? +C

A: Given: ∫8x2+10x-6x-1x+12dx To do: Evaluate the given integral.

Q: Evaluate the integral of xe^(x^(2)) dx

A: To determine the value of the integral.

Q: dx 5. S -9x+6x-2

A: According to the Bartleby guidelines only one question can be solved at one time, post the remaining…

Q: evaluate the integral.

A:

Q: 2. 21-/9 – 4ª dx

A: The by parts method is given as ∫uv=u∫v-∫u'(v) where u is the first function and v is the second…

Q: Evaluate the integrals ∫dx/ {x(x + 1)(x + 2)...(x + m)}

A:

Q: Evaluate the integral. 2. Se 3x dx 0.

A:

Q: Evaluate the integral. x² + x + 1 dx o (x + 1)²(x + 2)

A:

Q: Evaluate the following integrals 1 (2x – 1)ª dx 6x b) dx V – 4

A:

Q: ex dx V1 - e2x

A:

Q: Calculate the following integrals: (6X-5)dx 3.1 I = S; 3x2-5x+6 dx 3.2 1 = S; 1tyx+1

A:

Q: Evaluate the given integrals. 3x dx 1. S 2x*-1

A:

Q: Evaluate the given integrals. 7x-4Vx 1. S S VE () dx

A: Let's find.

Q: Evaluate the following integrals.

A: ∫x91-x20dx=∫x91-x102dx Now put, x10=t⇒10x9=dtdx⇒x9 dx=dt10

Q: 1 S dx xVx*-9

A: Given integral is:∫1xx4-9.dx

Q: Evaluate the integral: S dx (x+6)(x-4) ← +C

A: Given problem:-

Q: Evaluate the integrals: (j)∫1/ x2+ 6x+ 14 dx.

A:

Q: Evaluate the following integrals 3 dx a) , -1 3x-2

A: ∫−103 dx3x−2Let t=3x−2dtdx=3⇒dt=3dxAs x=−1→t=−5As x=0→t=−2

Q: 1 1 1 dx x+2, x+1

A: We can solve this as follows:

Q: 1 dx 1+ 3x x2

A:

Q: Evaluate the given integral: x³ – 2Vx dx .3

A:

Q: Calculate the integral ∫(3/3√x + 2/√x)dx.

A: Given integral: Formula used:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.