Use integral tables to evaluate the integral. S- 1 xp. xV64 - x2

Q: 30 +4) de 3e+ )

A:

Q: Evaluate the integral. 1 dr 25 + r2

A: we will let  25+r2=t2        to solve this question.

Q: Evaluate the integrals

A: As per company guidelines, I can solve only one question.

Q: Evaluate the integral. S (2 - VI) dr

A:

Q: Evaluate the integrals ∫sec4 θ dθ

A:

Q: Evaluate the integral by making the substitution u = x5 – 6.

A: Given∫x4(x5-6)6dxSubstitute x5-6=uDifferentiate x w.r.t u5x4dx=dux4dx=15du

Q: Evaluate the integrals

A:

Q: Evaluate the integral. 8.

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

Q: ४) पA (अ2 +) deat १) 2.

A:

Q: Evaluate the integral. 3 + 2 | du

A: This is a definite integral which can be solved using below formula    ∫ab f(x) dx= [ φ(x) ]ab = φ(…

Q: Evaluate the integral.

A: Given Data The integral is ꭍx+4/x²+2x+5 dx.   Let,   Put the value in the given integral…

Q: Evaluate the integral below. 2 x(r – 1)15 dr

A: ∫un du = un+1n+1+C

Q: Evaluate the integral: a V1 + 492 da

A:

Q: 5x х? — х — 6

A: Integration by using partial fraction

Q: Evaluate the integral:∫xe−2xdx

A:

Q: Evaluate the integral. 2t + di

A: We have to find the integral

Q: Evaluate the integral. (7xe + 4ex) dx

A:

Q: Evaluate the integral cot 2x S- Vcot? 2x - 15

A:

Q: 23. į un's da

A: To evaluate the given integral.

Q: Evaluate the integral: a² /1+ 9=*dz

A:

Q: 12x? Evaluate the integral: - - x² xp-

A:

Q: Evaluate the integral: x+2 ox

A: Given: ∫x2x+2dx

Q: DETAILS SCALCETSM 13.2.518.XP. Evaluate the integral

A:

Q: S csc4 5x cot 5æ dæ

A:

Q: Evaluate the integral. r3 55 ds

A:

Q: 3 cl 2nfo So" xdxdy хах

A:

Q: Find or evaluate the integral. da 13 a. 14x

A: The given integral is∫3dx-x2-14x-13.

Q: .3 2х — 3 -dx 4 x –x

A: First break the given Integral  Then take 4x- x^2 = u and in other one complete the square  Finally…

Q: Use symmetry to evaluate the following integrals. 1. 10 A00- 2. (1-1피)dr

A:

Q: メナー Aト 2.

A: Let's find.

Q: Evaluate the integral (1 + 2y)ªdy.

A:

Q: Evaluate the integral 41 da 5

A: given

Q: Evaluate the integral for x > 1/2: x2 100x2 - 25 = xp

A: We have to find the indefinite integral

Q: 2* ssch(2;

A:

Q: 25 5+7x x dx

A:

Q: Evaluate the integrals

A:

Q: 4

A:

Q: [²₂ 0 y√2y - y²dy

A:

Q: EC) Determine the value of the definite integral -1 ² (4x³ + 5)³dx .

A: The given definite integral,     ∫-10x24x3+53dx

Q: (15x? +10)*(30x)dx

A:

Q: dr. r² – 25

A: Given integral, ∫xx2-25dx

Q: Evaluate the integral 1 et drdydz. 0.

A:

Q: Evaluate the integral. 1 | (4 + r)³ dr

A: Given query is to find the value of the integral.

Q: Evaluate the integral: VI+2

A:

Q: 3.

A:

Q: Evaluate the integral: =°/1+ 64z*dz

A:

Q: Evaluate the integral given below. VIn5 drdy VIn5

A: Given integral is ∫025ln5∫5y2ln5ex2dxdy

Q: Evaluate the integrals ∫csc4 θ dθ

A: We have to evaluate the integrals: ∫cosec4 θ dθ Rewriting the given integral, ∫cosec4 θ dθ=∫cosec2 θ…

Q: (1) / : dr. x² + 4

A: For the first sub part we use the standard formulas for 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.