Evaluate the integral. (Use C for the constant of integration.) x + 21 dx x + 20x + 104

Q: 1 y dxdy Vy-x² 0. y

A: To solve∫01∫yy2dxdyy2-x2

Q: f1+z+² /1+z+z? + 3z*dz

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: dx 2. S (x²+4x+4)(x²–4)

A: We will integrate as following.

Q: Determine the constant of integration of f (x)= ƒ (15xª – 3x²) da if f (1) = 4? O None of the…

A:

Q: 3x?e³+x? + 2xe *°+x² dx

A: SINCE YOU HAVE ASKED MULTI PAL QUESTIONS IN SINGLE REQUEST , WE WILL BE ANSWERING ONLY THE FIRST…

Q: dx 3. S- х(х+1)(х2+5х+6)

A: Explanation of the answer is as follows

Q: O Find the integral f xsec2x dx

A:

Q: Show the similarity 1 (x² + a²)m dx = 2(-m+1)(x² + a²)m-1 using the substitution u=x^2+ a^2. Also…

A:

Q: Q2 - Evaluate the following integrals i. x cosh(x² + 1) dx -0.5

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 4. (ази t эзо

A:

Q: Evaluate the integral х3 dx x2 +49 х3 dх x2 +49 (Use C as the arbitrary constant.)

A: We substitute x^2+49=t, then the given integral become

Q: Evaluate the integral. (Use C for the constant of integration.) S. x² – 16 dx x3

A:

Q: Q I find integrals 3-2X 2 +4X dx

A:

Q: Using integration by substitution in ſ x³(x6 – 2)³dx, what is du? A. xdx В. бх5dx С. (х6 — 2)dx D.…

A: ∫x5(x6-2)dxPut x6-2=udifferentiate…

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A:

Q: Evaluate the integral. (Use C for the constant of i 4x2 + 3x + 4 dx (x² + 1)2

A:

Q: Evaluate the integral ? e1/x dx x2

A: we have to integrate by using substitute method

Q: бх + 9 dx V6х — х2

A:

Q: 8) S-x+3 x2+x-2 dx

A:

Q: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

A:

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A:

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A:

Q: dx the correct solution of this integral is:- 1+x A) 2 V5 В) Зл

A:

Q: Evaluate the integrals. ∫ (a2-y2)5 y dy

A: ∫a2-y25 y dy Put, a2-y2=t⇒0-2y=dtdy⇒-2y dy=dt⇒y dy=-dt2

Q: 9x -dx. Evaluate the integral / Ta2 + 1)(2x – 2) -

A:

Q: Evaluate the integral. 4.x V1 - x2 dx = 0. NOTE: Enter the exact answer.

A: Given: I=∫014x31-x2dx  ...1 Using substitution method to solve the given integral. Let,…

Q: dx Using an appropriate substitution, the integral V-x-6x+40 is equal to: (Complete the square, if…

A:

Q: What values of a and b maximize the value of the definite integral | (x - x²) dx a a = b =

A:

Q: Evaluate the integral.

A: ∫x24-x232dx Put, x=2sinθ⇒1=2cosθ·dθdx⇒dx=2cosθ·dθ

Q: Evaluate the integral. 5 x² e dx + C NOTE: Enter the exact answer.

A:

Q: xV|x² – 9| + 7 dx

A:

Q: x² + 2x + 1 dr- (x² + 1)² Falculate the integral

A:

Q: Evaluate the definite integrals a) (бх? — - 2x – 10) dx = / (x+ 4)² dx = b) 1 c) (x* – x³ ) dx - ||

A: Some of the properties of integration  ∫abf(x)dx=F(b)-F(a) ∫xndx=xn+1n+1+C…

Q: Find the integral of the function 6x * ln(x^2). The answer should be in form (Ax^B)(ln(x^2)+F)+C.…

A: Here we use integration by parts.

Q: Decide whether you can find each integral using the formulas and techniques you have studied so far.…

A: Given: I=∫2dxx2+4 we know that ∫dxx2+a2=logx+x2+a2+c                                      ..1

Q: Evaluate the integral 50 3)dx - by making the substitution u = x 6 – 3. + C NOTE: Your answer should…

A: We will integrate the following.

Q: Evaluate the integral. dx a > 0 (a² x3,3/2' Need Help? Watch It Read It

A:

Q: 8 x2 + 16 dx x2 The integral is equal to ...

A:

Q: Evaluate the integral 25 6)"dx - by making the substitution u = x -6. + C NOTE: Your answer should…

A:

Q: Solve the integral 3 | x*(a? – x²)ždx 9.

A: Given:         ∫0ax5(a2−x2)32dx

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A:

Q: a) Find the definite integrals of the following functions (i) Sx(x² +9)10 dx (ii) xp xu)x (iii) S…

A:

Q: Evaluate the integral. -2x dx 19 x e NOTE: Enter the exact answer.

A: Integrate it by parts.

Q: Evaluate the integral m(x) dx x2

A:

Q: dx Q3 a. Evaluate the integral X - x

A:

Q: Evaluate the integral. 16 x e3* dx = +C NOTE: Enter the exact answer.

A: We have to find the integral

Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

A:

Q: rercises Find a particular integral for the equat 3. d'x dx 3. + 2x Se3 dr dr

A:

Q: r2 c-x+3 3 J(x-1)² 4x° dydx

A:

Q: d.x -x2-4x

A: