y5 dy; 4 + y*

Q: Set up the integral in terms of h(x) that evaluates the shaded area under the curve and evaluate…

A: An integral assigns numbers to functions in a way that describes displacement, area, volume, and…

Q: Evaluate the integral using appropriate substitution. an V3- a de + C

A: It is required to evaluate integral by substitution.

Q: Evaluate the integral, if it exists.  ∫01 y2 √(y3 + 1) dy

A:

Q: xp xy6x -x

A: The given integral ∫1x6x-x2dxThe integral formula,117. ∫duu2au-u2=-2au-u2au+C

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

A: First Method

Q: Evaluate the integral, if it exists.  ∫01 y (y2  + 1)5 dy

A:

Q: L₁ |x|dx

A:

Q: Q2: Evaluate the integral ° In xdx using by parts formula

A: We use integral by part

Q: Replace the letter A in the integral Ae2u - 글라-오 + C. dx so that the integral evaluates to A =…

A:

Q: xy dxdy

A: We need to find the given integrals.

Q: a) Calculate the integral , dzdy dx.

A: Given:

Q: Evaluate the integrals in ∫e√r/√r dr

A:

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

A: Given:

Q: Evaluate the integral by interpreting it in terms of areas. /1 – x² dx

A: The given integral is as follows- I=∫-101-x2dx The given integral is a graph of quarter circle with…

Q: Evaluate the integral by interpreting it in terms of areas. La '5 (1 – x) dx

A: The solution is:

Q: Evaluate the integrals ∫4/y2 dy

A: we have to evaluate the integral ∫4y2dy let the given integral be I. therefore,…

Q: Use the Table of Integrals to evaluate the integral.

A:

Q: Evaluate the improper integral xe d

A:

Q: Evaluate the integral by making the given substitution.   ∫ x3(2 + x4)5  dx , u =2 +x4

A:

Q: 4. Calculate the following iterated integrals by hand. Show all steps. (a) (b) (c) -dr dy

A:

Q: 1. fese -Se- Side 2 f-ar +9' + de-de

A:

Q: The value of the iterated integralS, L (3 - ry)dydx=.. 2

A: Given: ∫-24∫013-xydydx

Q: Evaluate the integral. In(10 x 9) dx +C

A:

Q: Evaluate the integral by interpreting it in terms of areas. 4 + V 81 x2) dx

A:

Q: Evaluate the integrals

A: Consider the integration as I=∫01x2+xdx

Q: the exaet V alde Of the integral. a

A: The objective is to show the exact value for the integral, ∫01axdx This can be re written as,…

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x dx/√x - 2

A: Given Integral is., I=∫xx-2dx

Q: 4. Evaluate S,(x + 3)v4 – x² dx by writing it as a sum of two integrals and interpreting one of…

A: Given integral is ∫−22x+34−x2dx First , we will write the given integral into sum of the two…

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: Express the integral in terms of the variable u, but do not evaluate it. In x dx; u = In x e21 In x…

A:

Q: Evaluate the 2 improper integrals attached as an image.

A: Evaluate the first integral as follows.

Q: Calculate the integral, assuming that 6 f(x) dx = 10 and 6 g(x) dx = 6. %3D (Give your answer as a…

A: To Determine: calculate the integral ,assuming that ∫053f(x)+13g(x)dx=? Given: we have…

Q: Evaluate the integrals. ∫x7√(x4 + 1) dx

A: The given integral is ∫x7x4+1dx.

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫dx/x√x - 3

A: To evaluate the integral: ∫1xx-3dx. Let substitute u=x-3 dudx=12x-3dx=2x-3du Substituting the value,…

Q: Evaluate the integral. | In(7 x – 6) dx = +C

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

Q: Evaluate the following dennite integral 4 a) 3 2x +2 |dx

A: Given: The given integral is ∫142x+3xdx. Simplify the integral. ∫142x+3xdx=∫142xdx+∫143xdx

Q: Use the properties to evaluate the integrals. S (1+) du 1.

A:

Q: Evaluate the integrals ∫2eθ cosh θ dθ

A: To evaluate  ∫2eθ coshθ dθ

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫dx/x√(7 - x2)

A: Given integral, ∫dxx7-x2we have to evaluate the given intewgral;

Q: Evaluate the integral, 00 xn+1e-a²x* Jn(bx)dx, a > 0, b> 0,

A: Bessel's function of first kind of order n, denoted by Jnx is defined as Jnx=∑r=0∞-1n22rr! γn+r+1x2r…

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x dx/(2x + 3)3/2

A: ∫x2x+332dx Put, 2x+3=t⇒21+0=dtdx⇒2 dx=dt⇒dx=dt2

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x√(2x - 3) dx

A: Given: ∫x2x-3 dx To find: Value of the integral.

Q: z · 3°dz

A:

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫e2t cos 3t dt

A: Given, ∫e2tcos(3t)dt

Q: Compute the integral | x"dx, with a=1, b=7, and N=5. Answer to three decimals.

A:

Q: Compute the indicated integral by findng the area of the trapezoidal figure below. 110 4,0 F1 10 •5…

A: Given: A=∫35x+3dx

Q: Evaluate the integrals. ∫y2/(y3 + 27)dy

A: Given: ∫y2y3+27dy

Q: Consider the area between the graphs x + 2y = 29 and x + 6 = y?. This area can be computed in two…

A: