1. Evalute the improper integral 3x dx. 1+ x2

Q: Evaluate the integral 3. 2х dx х2 — 4

A: Will use substitution to find this integral. Substitute x square - 4 is equal to t.

Q: 18tan"x Sec-x dx (िकपन इ)"

A:

Q: Find the integral

A: Integrate∫3xx−2dx

Q: Give a geometric argument that explains why the integrals have equal values.

A:

Q: •2 dx

A:

Q: Evaluate the double integral sin(y' +1)dydx.

A: Use the change of order of integration to solve this problem.

Q: To evaluate the integral |(2x+1)tan Vx dx using Integration by Parts, we should choose

A:

Q: Solve the definite integral using usub

A: To integrate,

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

A:

Q: 5x-1 dx 2x+3

A:

Q: What is the value of the integral ∫2−2 max [1,x2] dx ?

A: This question is related to integration.

Q: 4. dx 3. 2

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

Q: Use the tabular method to find the indefinite integral. ∫x3 cos 2x dx

A:

Q: V9x? + 25 -dx x2 1.

A:

Q: S 8-3x (x+1)(x² − 4x+6) - dx

A:

Q: dx (1 – x3

A:

Q: The value of the definite integral 3 [² (3x² Jo 0 is (3x² - 2x + 4)dx

A:

Q: Use the tabular method to find the integral. x²(x – 2)/2 dx

A: Use tabular method to find the integral  ∫x^2(x-2)12dx sign Derivative Antiderivative + x2…

Q: Find the integral of sec^4 (3x) dx

A: Given: ∫sec43xdx

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

A: Given     ∫ 13x2+2x+1 dx

Q: dx - Evaluate V4x' +9

A:

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

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

Q: x° cos 2x dx

A:

Q: Use any method to evaluate the integrals ∫x cos3 x dx

A:

Q: 2 x – 4 dx .2 1

A:

Q: Use any method to evaluate the integrals ∫ x sin2 x dx

A: Given: ∫x sin2x dx To find: Value of the integral.

Q: state what method applies and how one applies it, but do not evaluate the integral:

A: To Determine: state what method applies and how one applies it, but do not evaluate the integral:…

Q: s/4 dx 2- 1+tanx 3.

A:

Q: Evaluate the integrals.

A: The given integral is ∫022x+13 dx. Evaluate as follows.

Q: Evaluate the integral ∫(5x -1)2 dx by two methods: first square and integrate, then let u = 5x - 1.

A: To evaluate the integral ∫5x-12dx

Q: Solve the integral. x +1 -dx 4. 4 + x2

A: Our Aim is to integrate the expression given below:-∫x+1x2+4dx -(i)

Q: Evaluate the iterated integral. (7 + 14y) dy dx

A:

Q: Calculate the iterated integral. 16 dy dx

A: The given integral is ∫116∫14xy+yxdydx Solve the integral.   Here we use the integral formula:…

Q: Find the integral dx 1-S 2vx+2x

A: We will solve this question by using integration with substitution method

Q: sin 1+V dz

A:

Q: [3x e dx Зх е

A: The objective is to evaluate the integral by parts.

Q: What is the value of the integral ∫2−2 max[1,x2]dx ?

A: Value of the given integral is 2x [1- ((x^2) /3) ]

Q: 2 16 dx 16 – x2

A: To find the integration

Q: dx xV4-x?

A: Explained below

Q: What is the integral of dx/(1_4x)

A:

Q: In -dx x²

A: This is a problem of integration. Based on the general formula of integral by parts we will solve…

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

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

Q: What is the integral of (5x-7)/(x^2-3x+2)dx?

A:

Q: Find a complete integral of p = (qy). %3D

A: Given PDE is p=z+qy2 Let fx,y,z,p,q=z+qy2-p=0 ⇒fx=0, fy=2qz+qy-1, fz=2z+qy, fp=-1, fq=2yz+qy Using…

Q: Evaluate the double integral. 5 25- х2 dy dx Jo

A: First, integrate with respect to y

Q: Ĵ3xco0s(4–x²)–8xV4-x° dx

A:

Q: Evaluate the integrals ∫8 sin4 y cos2 y dy

A: the given integral is: ∫8 sin4y cos2y dy we have to evaluate the given integral.   let the given…

Q: Solve numerically the integral e**dx ´dx by: (1) Trapezoidal rule with n = 4 (ii) Simpson's rule…

A: The given integral is, 12π∫-22e-x2dx