a) Integrate the following expressions with respect to x. Then, find the value of the function integral when x equals to 1. dx i. 2x2 – x – 3

Q: sec(2x) tan(2.x)dx

A: We will find out the required value.

Q: Use the indicated substitution to evaluate the integral.

A:

Q: Approximate the following integrals using the Trapezoidal rule. 0.5 [h=24 dx x-4 a. [x² dx 10.5 b.

A:

Q: Use integration by parts to evaluate the following Integral S3 cos x? dx

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Q: b. I = S(1+ sin x)5 cos x dx

A:

Q: use the indicated substitution to evaluate the integral.

A:

Q: luate the following definite integral 2 dx J V3 – x + Vx

A: In this question, the concept of integration is applied. Integration Integration is a method of…

Q: I = S(1+ sin x)³ cos x dx

A:

Q: Q2 - Evaluate the following integrals i. x cosh(x² + 1) dx -0.5

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Evaluate the integrals using the indicated substitutions.

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: A. Evaluate the following integrals. ´sec² 0' dx 4. tan 0

A: The integration of the integral is sec2(theta) /tan(theta).

Q: Use the specified substitution to find or evaluate the Integral. (Use C for the constant of…

A: The given integral is ∫x-5x+8dx. The main objective is to evaluate the integral by the substitution…

Q: Evaluate the following integral: (Note that the constant of integration has been added for you.) | =…

A:

Q: use a geometry formula to find the exact value of the definite integral  4x dx on the interval [0,b]

A: The given function is 4x with the interval [0,b].

Q: valuate the following Integrals 1 -3 +1 dx 4secx tan x- 2 sec? x)dx .3 dx x² +1

A:

Q: c) Evaluate the following Integration by parts for definite integrals. -5x dx хе 3 ii) . 2 Sin-dx i)…

A:

Q: 4 x*dx J (x² + 1)²

A: Solution is given below:

Q: Given the integral J 12cos(5x) dx Use the integral table to help you find the Anti Derivative of the…

A:

Q: Evaluate the following by changing the order of integration: 5 sin(y*) dy dx. 5x

A: First we change the order of integration and find limit of integration.

Q: Q2 - Evaluate the following integrals i. S cosx sin*x dx

A:

Q: Use the value of the first integral I to evaluate the two given integrals.

A:

Q: Use the indicated substitution to evaluate the integral.

A: Given:           ∫012x21−x2dx,  x=sinθ

Q: Evaluate the following definite integrals arcsin x (a) L 1. V5 + 4x dx (b) dx V1 - x2

A: We have to solve the definite integral

Q: 2 sin? t sec“ t dt

A: To determine:

Q: Use the substitution technique to determine the following integrals:

A:

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: Given:

Q: dx 16. 2 2 x*Vx –16

A:

Q: Use the substitution a 3 sin t to evaluate the integral f V9 – x² dx.

A:

Q: Evaluate the following integrals and check by differentiation: 1. J cos 4 x dx. 2. J 5 sec2 2x dx.…

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: evaluate the iterated integral

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 4 sin Vx xp

A: To evaluate the given integral.

Q: Use the substitution technique to determine the following integrals:

A: Let,

Q: Q1 - Evaluate the following integrals i. " xe-*dx

A: We are evaluating the following integral:

Q: First make a substitution and then use integration byparts to evaluate the integral.   ∫Cos √x dx

A: Given: I=∫cosxdx for evaluating given integral, we substitute x=t…

Q: (1 – 3|x|) dx -2

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: We need to evaluate the following integral  I = ∫cos6xdx…

Q: (d) e" cos x dx

A:

Q: 16. | (ez/a – e-xla)dx. n/3 sec 0 tan 0 do. Vesec e 17.

A:

Q: 3n/4 cot a In(sin r) dx

A: Use integration by parts

Q: Apply the method of substitution to integrate the following integrals: dx I = ; a. Va²-x² b. I = [(1…

A:

Q: Evaluate the following integral. (Use C for the constant of integration.) л tan 8x 2 л dx 2 sec 8x

A: Assume u=8x - pi/2.From there find dx

Q: correct answer to evaluate the following integral dx Jo (1 - x*)2

A:

Q: Evaluate the following integral. 1/2 I sinx sin y dz dx dy 0 0 0

A: Given integral   ∫0π2∫0π∫0sinxsinydzdxdy

Q: Evaluate the following integral. x2 dx V1- 144x x2 dx = V1-144x? (Type an exact answer. Use…

A:

Q: Sx² Vx – I dx

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

Q: Evaluate the integral. (Use C for the constant of integration.) cos (@). 4 da V sin(a)

A: Here we evaluate the integral∫4 cos5(α)sin(α)dα

Q: Use the specified substitution to find or evaluate the integral. (Use C for the constant of…

A: See attached file for a step by step explanation to find the required Integral.

Q: Use the value of the first integral I to evaluate the two given integrals.

A: ∫01x3-2x dx=-34