Make a substitution to express the integrand as arational function and then evaluate the integral. integral  1/3  to  3     [ sqrt x   / (   x  2+  x ) ] dx

Q: Evaluate the integral by interpreting it in terms of areas. 3 + V 25 – x² ) dx -5

A: First Method

Q: Express the integral in terms of the variable u, but do not evaluate it. In x -dx; u = Inx e3 rel4…

A:

Q: Evaluate the integral by interpreting it in terms of areas. 0. 3 + V 100 x2) dx 48.5398

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

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

A:

Q: Express the integral in terms of the variable u, but do not evaluate it. In x dx; u = In x e2 In x…

A:

Q: x In(2 + x³) dx

A: Topic  = Integration

Q: Evaluate the double integral dx dy by interchanging the order of inte-

A: Here we will use the concept of changing the order of integration

Q: Evaluate the integral. inegral  0 to 1    [ (x-4) / ( x2  - 5 x +6 )] dx

A:

Q: use a definite integral to find the area of theregion between the given curve and the x-axis on the…

A:

Q: Evaluate the integral by interpreting it in terms of areas.  integral -3  to 0 (1+ sqrt (9-x  2 ) dx

A:

Q: Calculate the integral, assuming that " g(x) dx = 26. (Give your answer as a whole or exact number.)…

A: Here, note that: ∫abf(x) dx=-∫baf(x) dx And given that: ∫011 g(x) dx=26

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

A:

Q: Use the Table of Integrals in text to evaluate the integral 5V4 + (In(x))² dx

A: Given:

Q: Calculate the integral, assuming that " g(x) dx = 29. (Give your answer as a whole or exact number.)…

A:

Q: 2. Evaluate the integral by interpreting it in terms of areas. . V25 – x2 dx. .

A:

Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. dx

A:

Q: Calculate the integral, assuming that f(x) dx = 8 and g(x) dx = 3. (Give your answer as a whole or…

A:

Q: Express the integral in terms of the variable u, but do not evaluate it. relo In x dx; u = In x es…

A:

Q: Express the integral in terms of the variable u, but do not evaluate it. In x dr; u = In r In r du

A: Given: I=∫e5e18lnxxdx   ...1

Q: evaluate the integral using the methods covered in the text so far.

A:

Q: dx

A: Consider the integral  ∫022x−2dx

Q: Express the integral in terms of the variable u, but do not evaluat e21 In x dx; u = In x re21 In x…

A: We are asked to evaluate the integral.

Q: Evaluate the integral or show that it is divergent.

A: Given: I=∫2∞dxxlnx                           ..1 for evaluating given integral, we substitute lnx=t…

Q: Evaluate the integral by interpreting it in terms of areas.

A:

Q: Evaluate the integral by interpreting it in terms of areas: + V16 – x2) dx

A: We first graph the function using a graphing calculator

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. (18…

A: ∫3718-6xdx

Q: Evaluate the integral, if it exists: +z sinx dx z-

A: We will evaluate the integral if it exists in the following step.

Q: Using only the definition of RS-integral, evaluate 2 d[x}.

A:

Q: b) [12x – 1|dx 2.x

A: The given integral ∫012x-1dx

Q: Use the Table of Integrals in the back cover of Stewart's text to evaluate the integral -1x4 dx Vx10…

A:

Q: Calculate the integral, assuming that L" g(x) dx = 24. (Give your answer as a whole or exact…

A: Given

Q: Graph the integrand, and use area to evaluate the definite integral dx. x IN 2.

A:

Q: Evaluate the integral by interpreting it in terms of areas. 2) dx

A: Given the definite integral I=∫09(13x−2)dx

Q: Find the indefinite integral. (Use C for the constant of integra 2 xp xV4 - (In x)2

A: Solution

Q: x2 dx J x2+4x+5

A: Given integral, ∫x2dxx2+4x+5 To find the value of this integral.

Q: 2. Evaluate the integral by interpreting it in terms of areas: J | sin x dx. -T

A:

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

A: Given: ∫x3x2+13dx

Q: x In(2 + x³) dx

A:

Q: Use the form of the definition of the integral given inTheorem 4 to evaluate the integral. integral…

A: To evaluate the integral: ∫022x-x3dx Evaluating the integral.…

Q: Evaluate the integral by interpreting it in terms of areas. V 25 - x2 ) dx

A: Given that, The integration is the following, I = ∫-50(4+25-x2)dx We have to find the value of this…

Q: x+1)dx 1. S

A: Let x1/6=ududx=16x5/6du=dx6x5/6

Q: Evaluate the integral by interpreting it in terms of areas.

A: The integral means the area under y=1-x from -1 to 2

Q: Express the integral in terms of the variable u, but do not evaluate it. re13 In x · d.x; u = In x e…

A:

Q: use a definite integral to find the area of theregion between the given curve and the x-axis on the…

A:

Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. 2 5x…

A:

Q: Use the form of the definition of the integral given inTheorem 4 to evaluate the integral. integral…

A: we have to evaluate the integral: ∫01x3-3x2dx using the definition of integral, ∫abf(x)dx=limn→∞∆x…

Q: Evaluate the integral by interpreting it in terms of areas.  integral 0 to 10    (|x-5|) dx

A: Given  The integration is I=∫010x-5dx

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. (x? 4x…

A: We can find the solution

Q: Use the definition of the definite integral to evaluate integral (upper=4,lower=0) 5 dx

A: Solution: The objective is to find the integral using the definition of definite integral

Q: Evaluate the integral by interpreting it in terms of areas.

A: