A water quality control agency estimates that a certain factory discharges pollutants into a river at a rate given by a function P'(t) for 0

Q: Find the indefinite integral ∫ x /√(x4 − 1)   dx

A: Let

Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t dt

A: ∫un du =un+1n+1+C

Q: Find the indefinite integral. (Use C for the constant of integration.) dx x(In(x²))7

A: Let us assume that:

Q: Find the indefinite integral. (Use C for the constant of integration.) Je- (2 - x)3(2 - x)² d

A:

Q: Q1- Express of the integral in term of Gamma function and simplify where possible *e-2 dx.

A: Gamma function

Q: If f(x)is the slope of a trail at a distance of x miles from the start of the trail, what does the…

A: Given∫35f(x)dxAnd we know that the total change theorem :∫35f(x)dx=F(5) - F(3)  ---{1}

Q: The rate of new tree growth (in millions of cubic meters per year) in the Sudan t years after 1980…

A:

Q: Find the indefinite integral. Solution in handwritten. 1. f =dx /1+x4

A:

Q: Evaluate the indefinite integral. dx 1 + x10

A: ∫1x2+a2 dx = 1a tan-1xa+C

Q: Find the indefinite integral. (Use C for the constant of integration.) (x + 1)8(x + 1)2 xp

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (In x)7

A: This is a basic integration problem

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(3at) dt

A:

Q: Find the indefinite integral. (Use C for the constant of integration.)

A: Given integral is I = ∫7 (t5 - t3 + 1) dt First we have to integrate the given integral equation.…

Q: To evaluate the definite integral of a function f from a to b, we just need to find its…

A: To evaluate a definite integral of a function f we at first need to find the antiderivative of f.

Q: Find the indefinite integral ∫ e−x4(−4x3) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 2t dt 1- 4t"

A:

Q: Find the indefinite integral and check the result by differentiation                  ∫t√(t2 + 2) dt

A:

Q: A study, in early 2000, said the typical American's annual income is changing at a rate of r(t) =…

A: There are 12 months in a year.  So t will go from 0 to 12 for the year 2000

Q: Suppose ƒ is an even function with integralEvaluate each integral.

A: Given:           f  is  an even function.    ⇒  f(-x) = f(x)   for all x

Q: 1. Evaluate the indefinite integral, ſx² sinh x3 dx.

A: To evaluate the indefinite integral, ∫x2 sinh x3 dx.

Q: Find the indefinite integral. (Use C for the constant of integration.) de cos(e) -

A: The solution of given problem is follows as

Q: Use the Log Rule to find the indefinite integral. (Use C for the constant of integration.) dx

A: Let z=x2+2dz=2xdxxdx=dz2

Q: find the indefinite integral of the ff   ∫x √x+1dx

A: Given integral is, ∫ xx+1dx.   It is integrated as follows:   Apply u-substitution, u=x+1 ∫…

Q: Find the indefinite integral. (Use C for the constant of integration. [₁6√₁7-10 100 dt

A: Let's solve given integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) 2 dx

A:

Q: Find the indefinite integral and check the result by differentiation.

A: Consider the given expression as dydx=4x+4x16-x2

Q: Find the indefinite integral and check the result by differentiation

A: We have to find out the indefinite integral. ∫tt2+2dt For this integral apply the substitution…

Q: Since YouTube first became available to the public in mid-2005, the rate at which video has been…

A: Given vt=1.1t2-2.6t+2.3    0≤t≤9

Q: Since YouTube first became available to the public in mid-2005, the rate at which video has been…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx (6x – 5)2

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt

A: To find ∫ t5e-t6dt

Q: Find the indefinite integral below and check your work by differentiation: 1 S Væ + -dx

A: Solution: The objective is to find the value of given integral

Q: The rate at which a substance grows is given by R'(x) = 195 e 0.5X, where x is the time (in days).…

A: This question can be solved by integrating R'(x) with proper limits.

Q: Evaluate the indefinite integral. x² dx 1 + x6

A: To find :- Integral of ∫x2/(1+x6)       ........................(1)   Solution :- According to the…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) xp (x² + 5)2 х

A:

Q: Evaluate the integrals So 2 log2 (x+2) dx (x+2)

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx 1 + x20

A:

Q: Evaluate the indefinite integral. x4/(1+x10)dx

A:

Q: Evaluate the integral: 1 - coth² (log₂ x) S² x cosh(log₂ x) dx

A:

Q: Find the indefinite integral. ∫(x4 + 3) dx

A:

Q: (2х-2 dx

A:

Q: Find the Indefinite Integral. e

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute

Q: Evaluate the indefinite integral. e dx

A:

Q: Evaluate the integrals in ∫ln 2 log2 x/x dx

A: ∫ln (2) *log2xxdxChange of base rulelogab=logcblogca Formula∫xndx=xn+1n+1+C

Q: The left sum, Lpn, is used to approximate the definite integral to the indicated accuracy. How large…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) dx | x(In(x²))5

A: This is the indefinite integral problem

Q: The rate at which a substance grows is given by R'(x) = 180 e 0.3X, where x is the time (in days).…

A:

Q: (x²–x) 1.) S-x) _dx x3+15+12

A: Note: As per company policy we are supposed to solve only 1 question, SO, kindl