Evaluate the double integral ∫0 to 1 ∫√y to 1 SQRT(2 + x^3) dxdy by reversing the order of integration.

Q: Evaluate the integral by reversing the order of integration. V3n V3 cos(4x2) dx dy

A:

Q: Evaluate the integral. (Use C for the constant of integration.) dx 81 - x2

A:

Q: sech(ln x) dx リ-5

A: Given integral, ∫-50sech(lnx)dx The objective is to evaluate the integral by substitution.

Q: Use integration by parts to find the indefinite integral. x In x dx

A:

Q: Use integration tables to find or evaluate the integral.

A: We have to evaluate the integral: ∫x4+5x2dx Assuming, t=4+5xx=t-45 Differentiating,…

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. 1…

A:

Q: Evaluate the integrals using integration by parts. ∫ (x + 1)2ex dx

A:

Q: Evaluate the integral using tabular integration by parts. 7 x V2 x + 1 dx

A:

Q: Use Property 8 to estimate the value of the integral.

A: Given:

Q: 8х + 3 dx / 4г2 + За + 1)4

A: We implement substitution method.

Q: 4 dx x4-1

A:

Q: 10x Selar. 20x dx 1- °

A:

Q: Use numerical integration to estimate the value of 1 dr. 1 + x TT = 4

A: Given: prove that π=4∫0111+x2dx  for proving this we will solve right hand side  we know that…

Q: Evaluate the integral. (Use C for the constant of integration.) 7 arctan(x) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) +² | dx 81-x²

A:

Q: Evaluate the integrals by using a substitution priorto integration by parts. ∫ln (x + x2) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 8x2 dx

A: Explanation of the solution is given below....

Q: 2 -y2 dydx e 0. 2x

A: The answer is given as follows:

Q: Find the integral of (x)(arctan x) dx,

A: Given: evaluate

Q: evaluate the integral by reversing the orcler of integration dx oly

A:

Q: Evaluate the integrals using integration by parts. ∫x2 sin x dx

A: Given: ∫x2sinx dx

Q: Evaluate the integral. (Use C for the constant of integration.) 9x dx

A:

Q: Evaluate the integral by reversing the order of integration 4 16 2 dy dx 3 ys 1 0 х In(48) X

A: The given integral is,

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. dy…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 9xV1- x4 dx

A: Formula used: ∫a2-x2dx=xa2-x22+a22sin-1xa+C Calculation: Simplify the integral as follows:…

Q: Evaluate the integrals using integration by parts. ∫ ex cos 2x dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 5xV1 - x4 dx

A:

Q: Evaluate the integrals by using a substitution priorto integration by parts. ∫x tan2 x dx

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Evaluate the iterated integral by choosing the order of integration. 9y arctan dy dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 16 In(Vx) dx

A:

Q: Use integration by parts to evaluate the integral: 15 In(s) -ds =

A: We can find the integration as below

Q: Evaluate the integrals by using a substitution priorto integration by parts. ∫x√(1 - x) dx

A: Here given as I=∫x1-xdx let  1-x = t Thus -dx=dt

Q: Evaluate the integrals by using a substitution priorto integration by parts. ∫sin (ln x) dx

A: Given: I=∫sinlnxdx for evaluating given integral, we substitute lnx=t…

Q: Evaluate the integral by using u-substitution and changing the limits of integration. 3x dx J, ex++1

A: ∫-103xex4+1dx Let say, u=x4 Therefore, du=4.x3.dx  ⇒ x.dx=du4x2=du4u. x=-1 ⇒u=1x=0⇒u=0 Therefore,…

Q: Use the Special Integration Formulas to find the indefinite integral. ∫√(5x2 − 1) dx

A: Given:

Q: In x - dx

A: Given integral,           ∫eelnxx2dx

Q: Evaluate the integral. (Use C for the constant of integration.) x-5 dx

A:

Q: Evaluate the integrals using integration by parts. ∫ cos-1 (x/2) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 8 + x dx 8 -

A:

Q: Evaluate the integral. (Use C for the constant of integration.) dx 5x(1 +5x)

A: Evaluate the integral using trigonometric substitution

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. 3…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 10 dx 5x + x/x

A:

Q: Evaluate the integral by using u-substitution and changing the limits of integration. x3 dx -1 ex*+1

A:

Q: Calculate the integral by interchanging the order of integration. 16, dy ) dx 1

A:

Q: Evaluate the integral. (Use C for the constant of integration.) dx 49 - x2

A: We have to find the integral

Q: Evaluate the double integral by reversing the order of integration y* sin(ry²) dydx

A:

Q: 3 (x³-4x)dx

A:

Q: Use integration by parts to evaluate the integral. ∫xe^4x dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) | VER-X² dx 81 x

A:

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. -2…

A: