Reduce to first order and solve. (1 - x2 )y" - 2xy' + 2y = 0, y1 = x. Use : fp dx = In [1/(1- x²)] , find U with its integral. to get Y2 = uyi.

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

A: ∫un du =un+1n+1+C

Q: 1 2 -5) dx x3

A:

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

A: With the help of trigonometric substitution we can easily solve this question. Try putting x=7sin(t)…

Q: Find the indefinite integral. (Use C for the constant of integration.) tan2 dx secº x

A: The objective is to evaluate∫tan2xsec5xdx. The formula for integration is ∫xndx=xn+1n+1+c

Q: cos y dy sin² y + sin y – 6

A:

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.) [07- 7i- 8tj + In(t)k) dt.

A: Given the integral                    ∫(7i-8tj+ln(t)k) dt

Q: Find the indefinite integral. (Use C for the constant of integration.) 4 zV 64z2 dz 49

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) V3 dx

A: Objective of this question is to solve the indefinite integral  I=∫3dx Since x0=1, the integral can…

Q: Find the general indefinite integral. (Use C for the constant of integration.) x3 + 4 x2 ) dx

A:

Q: 3. Reverse the order of integration in S(2xy + 1)dxdy and then evaluate.

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 2 dx ex/2

A:

Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx -

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) ex V1- e2x dx

A: Calculate the integration in the following way:-

Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A: Consider the given integration as

Q: Find the general indefinite integral. (Use C for the constant of integration.) | (x1.3 + 9x3.5) dx

A:

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

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 9e2x dx 1 + eX

A: Given,           ∫9e2x1+exdx

Q: Find the general indefinite integral. (Use C for the constant of integration.) 4x - 9/x dx

A: To find the indefinite integral: ∫4x3-9xxdx Solution: Evaluating the given integral.…

Q: 6) Use the successive approximations method to solve the following Volterra integral equation: u (x…

A: The Volterra integral equation is given as u(x)=x22-∫0x(x-t)u(t) dt. We have to solve the equation…

Q: Find the indefinite integral. (Use C for the constant of integration.) dx x2 + 3

A:

Q: Use the tabular method to find the integral. (Use C for the constant of integration.) 3x3 sin(x) dx

A: The given integral is ∫3x3sin x dx. ∫3x3sin x dx=3∫x3 sin x dx ddxxn=nxn-1∫sin xdx=-cos x+C∫cos…

Q: Find the general indefinite integral. (Use C for the constant of integration.) (Sx² + 8 +) dx 4 x2 +…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) x2 dx 25 – x2

A: Let, Integrate using substitution,

Q: Find the integral. (Use C for the constant of integration.) (x6 + 5-×) dx

A: In this question, we need to find the integral of given function.

Q: Find the general indefinite integral. (Use C for the constant of integration.) + 9x3.5) dx

A:

Q: Identify an analytic anomaly why numerical integration formulas will fail for J_11-x² sin(ax) dx.…

A: Given integral is∫-11sinπx1-x2dx

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

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) [(7x² + 8 + 2²1) dx +

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) / (2x² + * + dx x2 +…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) X + 14 dx + 2x + 5

A: Topic - integration

Q: Evaluate the integral. (Use C for the constant of integration.) 17xe2x dx (1 + 2x)?

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.7 + 9x3.5) dx

A:

Q: 2. u(x)= secx+à So u(t)dt.

A: Given integral Fredholm equation, ux=sec2x+λ∫01utdt To find the solution of this equation.

Q: Find the indefinite integral. (Use C for the constant of integration.) 8 zp zV 49z2 - 25 2 49x – 25…

A:

Q: sin 1+V dz

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.2 + 9x3.5) dx

A: It is indefinite integration problem.

Q: Find the indefinite integral. (Use C for the constant of integration.) + 7X dx 1)e*?

A:

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 36 dx v3

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dx 64 4 -

A: The objective of the question is evaluate the indefinite integral.

Q: Find the general indefinite integral. (Use C for the constant of integration.) 8x + 4 + dx x2 + 1

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) sin 2x 9. dx sin x

A: Explanation of the answer is as follows

Q: dx x2-6x+20

A: To evaluate the given definite integral

Q: Evaluate the iterated double integral JI-X² ( [√x² sin (x² + y²) dz dy dx

A: A a couple of imperative is a specific imperative of a characteristic of numerous actual variables…

Q: Evaluate the integral. (Use C for the constant of integration.) 4e2x dx 5 + ex

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 9 sin(2x) dx 1 + cos“(x)

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 3 dz zV 16z2 – 25

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 4x 4 + 4x dx e

A: We have to find

Q: 24) Find the integration by applying (by part method) Sin ¹y dy

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.8 + 9x3.5) dx

A: Given, ∫ x1.8+9x3.5dx