5л — 2 dx x2 +1 10.)

Q: Evaluate the integral dx (3x + 15)²’ by making the appropriate substitution: u = dx + 15)?

A: To evaluate:∫dx3x+152

Q: dy Find the solution of 2ху + dx X. 2у-1

A:

Q: The value of the double integral 7 1 4xy dy dx is 4

A: ∫46(∫274xydy)dxIntregation wrt y so x will be constant.⇒∫46[4xy22]27dx ⇒∫462x(49-4)⇒∫462x(45)dx

Q: 4 5y²-8X+6) dx =?

A: To evaluate the given definite integral

Q: Drove that 3 e dx converges to 9 3e

A: Explanation and solutions is given below.....

Q: Evaluate the integral. dx 4 a > 0 (a² + x²)3/2?

A:

Q: S: dx V4 + x² (a)by parts, letting dv = dx V4 + x² (b)by substitution, letting u = 4 + x2 3.

A: Integration basically means to find the integrals, i,e. to assign numbers to function in such a way…

Q: 2. (x+53y)e dydx %3D -1J0

A:

Q: Find the integral. |(2x3 - 3x2 + x – 1) dx A x² + B 6x2 - 6x + 1 + C (c) None of the above x2 - x +…

A:

Q: Find the integral. dx 7/3-3x2 +C O b 2x2 육x기3-2x-2.c O d + 2x

A:

Q: Show that -a²x² dx = VT/2a, a > 0, I = e by noting that I = -a²(x²+y³), dx dy -a²r², r dr d0. e

A: We need to show thatI=∫0∞e-a2x2dx=π2a,      a>0

Q: 4x2 Calculate the integral: dx 3/2

A: I use trigonometric substitution to calculate this integral to see full solution please visit 2nd…

Q: (y5 – x²e») dx dy -11-3

A:

Q: Find the integral 17T dx 2+18 1 는시17x + 18+c 17 1 18x - 18 +c b.

A: Solve by substitution integration method

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 dx (7x + 6)2 by making the appropriate substitution: u = dx (7x + 6)

A:

Q: Evaluate the double integral 2. dy dx 4. 31x

A:

Q: How I show that if Y=ax^2 that (d/dx)=2ax(d/dY)?

A: The given expression is y=ax2.In order to prove the given expression, use the following definition.

Q: 2e Evaluate the integral dx 2x +3

A:

Q: Solve the integral: dy dx. x2 H/4

A: To solve: The integral ∫141∫x2xxydydx. Formula used: ∫xndx=xn+1n+1+C Here, C is constant of…

Q: tan (In |4x²|) dx is bin sec (In |(2x)^)| + C. what is b? The integral of (A 4 1 B c) 2 1 D 2

A:

Q: d sec(11x – 4) dx = dt 13

A:

Q: dx 2 (1+3x)2

A: We will find the integral as following.

Q: ( 2x-sy+12) dx +(7x-4y+15)dy = o 2,

A:

Q: Evaluate the integral dx (2a + 6) by making the appropriate substitution: u = dx (2a+ 6)°

A: I have use the substitution

Q: a2z If z = In(x² + y²), find a²z + dx2 ду?

A: Given, z=lnx2+y2

Q: 5 (a) | x² In(2x) dx (b) x'e*dx 'xp, Jo

A:

Q: Solve using product rule d(uv) = u dv + v du: f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

A: Given that, fx=x2+4x4-4x2+16 Differentiation formulae: ddxuv=uddxv+vddxu    [Product rule]…

Q: O f(3x² + sec² 2x) dx

A: Given query is to find integral.

Q: dx 2 28 — 12х — х

A:

Q: If y= In(3x² – 6x – 8), then find dy. | dx

A: Chain Rule of Differentiation dydx=dydududx................................................(A)…

Q: Evaluate the integral dx (2x + 6) by making the appropriate substitution: u = dx (2a + 6)°

A: To evaluate the given integral.

Q: 3 x2 Calculate the integral: dx V5 + a?

A: Given,          ∫3x25+x2dx

Q: 3. Find the integral. 2x dx x2 + 10x + 29 а.

A:

Q: ,5. For y = 3x° - 9x° + 2x, find dx %3D dx 5

A:

Q: Evaluate the integral dx (2x + 4)* by making the appropriate substitution: u = dx (2x + 4)°

A:

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

A:

Q: Evaluate , Sd-2, r2(1-z) dy dx dz

A:

Q: 4-3x dy dx X,

A: its a multiple integral based question.so 1st we integrate with respect to y and then with respect…

Q: Find the integral. 12x Vx dx 9 24 OA. 7 +C 8 О в. + C 3

A:

Q: Evaluate the double integral dy dx 4. 2.

A:

Q: Find the integral +C 1 dx x² – 16

A:

Q: C. Find Sx® In 3x dx using by Part techniques.

A: Here we will use the formula of integral by parts. Assume, f(x) = ln(3x) and g(x) = x^8 Formula will…

Q: a) Find the integral 3x7 dx dy . Vr – x2 -

A: Given, the integral is Here y = 0 and y = 1 and x = Öy and x = y2.

Q: E valvate cox³ (x²+3)dx 2.

A:

Q: Evaluate the Double Integral. 4 V16-x2 b. 2x dy dx

A: We have to evaluate

Q: Q/ Find an integating factor for the diff- equ. 2y dx + (3y-2x)dy20? to

A: Conversion of non exact differential equation  to Exact differential equation. Given differential…

Q: Use the three-point Gauss-Legendre formula to evaluate the integral dx Ső (2x + 1)²

A:

Q: Q1-Evaluate the integral 2х — 5 dx - х2 — 5х + 1 3

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

Q: the integral (dx)/(xsqrt4x2+1)

A: