2) Solve the following integral dx xV25x² – 2 V25x2

Q: Evaluate the integrals ∫36 dx/(2x + 1)3

A:

Q: Evaluate the integrals

A: We separate the integral first.

Q: 3.1 dx . 2 V3x – 2x² -

A:

Q: Evaluate the integral. xV1- x2 dx 14

A:

Q: Evaluate the integral. 4. (2x²+Vx) dx

A:

Q: 7. (x² + 3)² dx -2

A:

Q: 3 dx 1 4x – x2 – 3

A:

Q: Use a suitable method to evaluate the following integral. х5 — х4 — Зх + 5 | dx x4 – 2x3 + 2x² – 2x…

A: Here I am attaching image so that you understand each and every step.

Q: Evaluate the integrals ∫3 dx/√(1 + 9x2)

A: Given Data The integral is ꭍ3dx/√(1+9x²).   Let,

Q: Find the integral. |(2x° – 7x° + 5) dx 1 A. 3 7 4 x* + 5x + C 4

A: he given integral is ∫2x5-7x3+5dx

Q: 6. Evalvate the Integral S13 sec O tan? o do =

A: ∫13sec4θtan2θ dθ

Q: Find the integral

A: To evaluate the integral: ∫x25-9x2dx Solution: ∫x25-9x2dx…

Q: The value of the triple integral 0. 0. is

A: Evaluate:

Q: SVEsin(1+ VF )dz 4 Vz sin .3

A:

Q: 4. dx 3. 2

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

Q: Evaluate the integral. √3/2 x² V1-x² dx

A:

Q: Use the results of Section 5.2 to compute the following definite integral: 3x² dx

A: We need to evaluate the following integral ∫-453x2dx Formula Used : ∫abxndx = 1n+1bn+1-1n+1an+1

Q: Evaluate the integral. 2x´dx 4 5.

A: ∫452x2dx

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

A: Given     ∫ 13x2+2x+1 dx

Q: calculate the integral.

A:

Q: [(7x-2)e-* dx; -3x

A: The given question can be solved as shown in step2.

Q: 6 dx x2 + 4x + 13 12

A:

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

A:

Q: Evaluate the integral (2a+4)(x² + 4x + 2)*dx 4 by making the substitution u = x+ 4x + 2. ,2

A: Let u=x2+4x+2, now differentiate it with respect to x. du = (2x+4)dx So,…

Q: Evaluate the integral 2x2 + 6x + 5 dx, x2 + 3x + 2

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 the integrals ∫8 cos4 2px dx

A: To evaluate: ∫8cos42πxdx Let t=42πx dtdx=42ππdt42π=dx Putting the values, we get…

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

A:

Q: Use the results of Section 5.2 to compute the following definite integral: 4x2 dx %3D

A:

Q: 4 8 + x2 dx /1

A:

Q: dx xV1 – x² 2

A:

Q: 3 5 8x 15 dx 5 x4 |

A:

Q: Given the integral 6x2 + 10x + 9 dx -2

A:

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

A: Here, fx=13x2+2x+1

Q: find the integral 4V2 (4 – x³)/² dx 3

A:

Q: Evaluate the integral (x – 1)ez xp- x² – 2x + 2

A: The objective is to find ∫-∞∞(x-1)eix(x2-2x+2)dx It is known that, eix is an increasing function.…

Q: Evaluate the integral.

A:

Q: dx (3 + 4x – 4x²)/2

A: NOTE: Refresh your page if you can't see any equations. . add and subtract 1/4…

Q: Evaluate the integral. 5x2 +3x- Vx - 2 dx 5.

A: topic - definite integration

Q: Evaluate the integral. 2. (9x2 - 8x + 6) dx

A: the Integration is a process of finding the anti derivative of a function. There are basically two…

Q: Solve the integral. dx 6. - Aear V1 – 4e2x

A: ∫dx1-4e2xFormula:∫dx1-x2=sin-1x+C

Q: 7. Evaluate the integral. Vx2 – 25 dx х3

A: First we will make a trigonometric substitution of x=5*sec θ then we will solve it and integrate it.…

Q: To evaluate the integral/ V3 – 3x² dx,

A: Substitute, x=sin(θ)dx=cosθ dθ The expression f(x) becomes,

Q: 1 S dx xVx*-9

A: Given integral is:∫1xx4-9.dx

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

A:

Q: Evaluate the integral. dx xV 49x2 - 6

A: Given that: ∫dxx49x2-6

Q: following integral | 8/sec20-1 d0

A: 9) The integral ∫-π4π48sec2θ-1dθ can be evaluated as, ∫-π4π48sec2θ-1dθ=∫-π4π48tan2θdθ…

Q: 36" dx o V6 + 3

A: We have to find out

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.