Use u-substitution to find the definite integral |4xe -3x+7 dx . Please clearly show all -k.

Q: Help find the integral please

A: Step 1: ∫9+x46x​dxTo find integral, first we need to look for the given expression if it is in any…

Q: x' + x – 12x +1 dx. - Determine x +x –12

A: Using long division: x3+x2-12x+1=xx2+x-12+1

Q: x³ – 2x .3 xx X - 1

A: Let I=∫23x3-2xx-1dx. We will find the value of I using the substitution. So substitute x-1=t. Since…

Q: х-1 4. S: dx x3+x2+x+1

A:

Q: Evaluate I = = / x*(x² + 4)³/ª dz

A:

Q: 2x ०5+.a

A: We use substitution method to solve this integration

Q: Evaluate the definite integral.

A:

Q: Evaluate the integral and explain each Step. े्यकिण

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 4 VIn(9-x) p- VIn(9-x)+/In(x+3) 2

A: value=?

Q: Q3/ Evaluate the following integral and simplify it into the final form: x-6x-2x-3x+4 x'+2x+3

A:

Q: y=36 Areu S (36-2 -(6-x) dx 36 -x2 -(6-7) ठेx ニ

A:

Q: •3 In 2x dx Evaluate the definite integral : 8x5

A: Evaluate the intregal

Q: x-1 2 x² + x -dx

A: As per the question we are given an indefinite integral of (x-1)/(x2 + x) which we have to evaluate.

Q: ーメ44 ifx 小0 2x-5 if OLx<3 fE) = Vx-2 if メ=3

A: Explanation of the answer is as follows

Q: y = 2x/sqr(x^2 + 1) - find the deriviative using chain rule and explain each step clearly and show…

A:

Q: Eliminate the arbitrary constants: x^2y=1+cx

A: Introduction: The anti-derivatives of a function can be found using integral calculus. These…

Q: 3 12x -24x +7 dx. Evaluate x - 2x 12x-24x +7 3 x - 2x = xp

A: Solve integration

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.