Evaluate the integral 4-x² ^2+/4-x²-y² 2 (x² + y² + z²)³/²dzdydx -2 J-V4-x² J2-V4-x²-y²

Q: Find the integral of 2x4(1+x10)-1dx exactly. Show all working.

A: I = ∫2x41+x10-1dxI = ?

Q: What should be the rewrite of the integrand of * (2 x + 5)² so that the resulting integral is…

A: SOLUTION-

Q: 3x+1 2-2x+2

A:

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ x2/x4 - 1 dx

A: ∫x2x4−1dxFirst we factorx4−1=(x2)2−(1)2                                        =(x2−1)(x2+1)…

Q: Evaluate the integral. 4e*-³dx -12

A: Given, I=∫-1.224ex-3 dx To find : Integral value , I

Q: Prove without calculating the integrals explicitly that V1 + x³dx < | V1 + x²dx

A:

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ dx/x2 + 2x

A: We write the integrand using partial decomposition

Q: Evaluate the integral: Ldx

A: as per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Evaluate the integral -3-2s ds. V-3-2s ds %3D

A:

Q: Evaluate the integral [V9+x²dx

A:

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ 8x2 + 8x + 2/(4x2 +…

A: Explanation: Given that,                            Now use the partial fraction  Now find the…

Q: Vx2 – 4 dr lx x3

A:

Q: Evaluate the integral: ſ V16x4 - 24x² + 9dx

A: Topic:- integration

Q: x²dx V9-x2

A:

Q: Integrate Intergrate 21x/ with recpect to X mtegrate X- 28 with respect to X

A:

Q: What would be an example of a function that is not integrable on [2, 10] and why is it not…

A: Consider a function: y=1x-2……1

Q: Plear schre the intguat scre the integroad 5-5x12

A: We have to solve the given integral. We will make use of substitution method to solve this integral.

Q: Find the indefinite integral. (Vx +8 xp. Vx +8 5 Vx xp-

A:

Q: 3. Evalute the improper integral dr. Vr2 + 2

A: We have to evaluate the improper integral -  ∫-∞∞xx2+2 dx The given improper integral can be written…

Q: double integral

A:

Q: Determine the integral: x²cosxdx (A) x²sinx+2xcosx-2sinx + C (B) x²sinx-2xcosx+2sinx + C…

A: topic- indefinite integral

Q: Calculate the integral ∫5x / (x−1)3dx.

A: Given integral:

Q: Determine the integral: x²cosxdx A x²sinx+2xcosx-2sinx + C B x²sinx-2xcosx-2sinx + C Cx²sinx +…

A:

Q: Evaluate the integral 1 / / emax{x²,v²} dydx

A: integral of  ∫01∫01emax {x2,y2}dydx

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ x2 + x/x4 - 3x2 - 4…

A:

Q: Evaluate Integral. integral 0 to 2 (4/5t^3-3/4t^2+2/5t)dt

A:

Q: Find the integral of funcdss7 x/Snca) when ns6,7 and the intereil (15) (Gmpare the esults) by Simp…

A:

Q: Evaluate the integral. 9x2 - 100x - 100 dr - x3 - 100x NOTE: Fnter the er amoa on

A:

Q: Evaluate the integral of fx³dydx

A:

Q: Evaluate the integral of * xdx Vx2-6х +13 |x-3+ (x-3)- 3 In Scx – 3)² – 4 + c x-3 3 In 6x +13 Option…

A: Explained below

Q: 5dx 3. S- V4e2x-36

A: Here we have to evaluate the integral:- I=∫5dx4e2x-36

Q: 2 5 6z³ -8z¹+2z² 4 Z dz

A:

Q: Determine the integral: x²cosxdx A x²sinx + 2xcosx-2sinx + C B x²sinx-2xcosx-2sinx + C C…

A: integration

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ x + 4/x2 + 5x - 6…

A: the given integral is: ∫x+4x2+5x-6dx we have to express the integrand as a sum of partial fractions…

Q: Evaluate the integral of x³dx 1- 4x2

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

Q: Evaluate the integral Sea X 6x³-1dx

A: This question can be solved using the concept of integration by substitution.

Q: LLVE dydx. 1/4 Jr2

A:

Q: Evaluate the integral of (2x-3)/(x3+3x)

A: Indefinite integration

Q: -x/3 Jx/4 cscxcotxdx

A: topic- definite integral

Q: (x – 3) V 6x – x²dx -

A:

Q: : Determine the area of bounded by y = 2x-1, and y = 4x-2 on interval [1,4].

A:

Q: Evaluate the integral -4x 1 - x2 1-x2

A: to solve the given indefinite integral put,

Q: 9. Convert ¹42(4-4x²-y²)dydr into a triple integral with dV = dydzdx.

A: Here we conside the limits of x nad y then we try to find the limit of z for which after integrating…

Q: find integral of 8xsin(4x2)

A:

Q: find the area between y=2x2+9x-5 and y=-X2+6x+1 for x in (-2,2)

A: The given curves are,

Q: Calculate the integral   ∫2x^5dx

A:

Q: Evaluate the integrals

A:

Q: Evaluate the integral. V3/2 dr V1- r2

A:

Q: Evaluate the integral: æ V81 *Vs1 – z'da -

A: