2.2 Find the indefinite integral of the following: I = S(4x² + 5x – 7)dx а. | b. I = S Vx dx I = J (b+ax)2 С.

Q: Find the indefinite integral.

A: Given: I=∫5t+63dt  ……1

Q: Q1 - Evaluate the following integral: J (2x2-3x+2) dx (x-1)2 (x-2)

A:

Q: 1. S(x3/2 + 2x + 1) dx

A: consider I= ∫x32+2x+1dx

Q: 5 Find the following indefinite integrals. 10 a. f(x+2)' dx b. J d. [4 (3-&x) dx c. (3x-7) xp-

A: c)

Q: Find the indefinite integral.

A:

Q: (a) Define a substitution variable u and write / x(x +1)*dx in terms of u. Do not solve the…

A: detailed solution is given below

Q: 5. Suppose that f(t) is the rate of snowfall t hours after midnight on December 21, measured in r12…

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Q: A. Evaluate the following indefinite integrals using the Power Rule: 1. SE Va dx 2. S dx 3. S(-Vx +…

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Q: Find the indefinite integral. (Use C for the constant of integration.) dt t4 + 1

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Q: Find the indefinite integral. 1. 16 + t² dt * (x² + 4)³/2 + 4)3/2 2. -dx-

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

Q: Find the indefinite integral. | (0.9t² + 0.06t + 2) dt + C

A:

Q: (In x) dx x+1 c) d)

A: Definite integration

Q: 4. S)(1-x²)dx 5. S(e2t)dt

A:

Q: 5x+6 Consider the indefinite integral e+0 dx:

A: given equation= e5x+6

Q: Find the following indefinite integrals subject to the initial conditions a) y'= with y(1)=0 x²+6'

A: topic - differential equations

Q: 1. Sketch the graph of the function y = f(x) = 3 – V4 – x² over [-2, 2] and use this to evaluate the…

A: Given: The function y=f(x)=3-4-x2,             Interval: [-2,2]             Integral:…

Q: 6. Evaluate the following indefinite integrals using substitution method. 2x3 (a) S dx (7-2x4)5 (7…

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Q: Evaluate the integral x3 dx 2+100 S x3 dx +100 (Use C as the arbitrary constant.)

A: Given,

Q: Solve the Indefinite Integral. xe²t S dx (2x+1)² A [1-21] +0 e2x 2x C 4 2x+1 B. 2-2(22+1) + C 4 C.…

A: SOLUTION-

Q: 13x? + 17 What is the indefinite integral of ) dx (2x+1)(x² + 4

A:

Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: Find the following indefinite integral. I dx x2 + 9

A: From the given problem:   I=∫xdxx2+9...(1)   Let,   x2+9=t   To differentiate with respect to x.…

Q: 2. Find the following indefinite integrals. 1 (a) dx J x/16 – [In(x)]?

A: We have to solve

Q: Q3: Find the integral for the following functions: - 1) 2 6 dx 2 x+2 2) S 3co t(x). csc²(x) dx 3)…

A: To find the given integral.

Q: Evaluate the following indefinite integral: 2(1 + e*) dx (x + e*)3

A:

Q: Find the indefinite integral ∫ t/√(1 − t4) dt

A: Given integral, ∫t1-t4 dt

Q: Evaluate the following indefinite integrals. 1. S(5x + 4)11 dx 2. Sx (x² + 2)17 dx 3. fx²(9 – x³)5…

A: The solution is given below

Q: Find the following indefinite integrals 1. Sx(x² – 2)5 dx

A:

Q: find the indefinite integrals. 1. ∫ e−0.05t dt 2. ∫ (3/t  -  2/t^2)  dt

A: case 1:The given indefinite  integral  is ∫e-0.05t dt.Let u = - 0.05t, then du/dt = -0.05.

Q: dz

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

Q: Find the following indefinite integrals. dx = (m) / (~- (bị + 3e" + dt =

A: (a) I1 =∫x3-1xdx (b) I2=∫eπ+3e2t+1etdt We know that  ∫xndx=xn+1n+1+c and ∫enxdx=enxn+c

Q: x² – 25 dx Jx+5

A: Formula: a2-b2= (a+b)(a-b)

Q: Evaluate the definite integral integral a=0 and b=1    7/ 1+x2 dx

A: Refer to the question, we have to solve the definite  integral a=0 and b=1    7/ 1+x2 dx.

Q: Find the indefinite integral

A: To evaluate: ∫2x+1ex2+xdx Let substitute t=x2+x dtdx=2x+1dt=2x+1dx Substituting the value,…

Q: dx 2.) S 4+ x2

A:

Q: Find the indefinite integrals: x5/2 + 4x +1 a) / 2 + Te' ) dt t3 6t +

A: We know that ∫xn dx = xn+1n+1+C         n≠-1 ∫1x dx = lnx+C

Q: Evaluate the following indefinite integrals. 1. Jx²dx 2. S(x³ + 2x)dx 3. S(a)dt :a = constant

A: Solving the problem by finding the indefinite integral.

Q: 1) Find the indefinite integral of the following functions: 3 2x+ 3x4 a) y = Axt B 3 b) y =x-1 +…

A: Indefinite Integration

Q: 1. Determine the following indefinite integrals: S (Ax-1 - Bx-3 + Vx") dx a) ez (wt) – cos(Ewt) )…

A: A=2.6, B=6.4, C=2.6, D=3.4, E=2.7 To find:-

Q: (d) L™ x³ cos(x* + 5) dx. (e) f(2x – 1)³ dx . -

A: For the given integral  ∫0π4x3cos(x4+π2) dx

Q: 2. Find the following indefinite integrals. 3 + yx)dx

A: Since you have asked  multiple questions in single request  so  will be answering only first…

Q: 1. Find the general indefinite integral or evaluate the definite integral, as necessary. dx b) S,…

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Q: 2t + 1 What is the indefinite integral of dt t3 -8t + 21t – 18

A:

Q: Q1\ Evaluate the integrals: 10 A. S- V16+x2 В. Г(3 — 2х)-5 dx

A:

Q: Evaluate the following indefinite integrals. 1. [(5x + 4)¹¹ dx 2. √x (x² + 2)¹7 dx

A: