2x + 3 1. (2x² + 6x – 7)7 dx 5 2 (32 – 3x)' (12x* – 3) dx

Q: II. Evaluate the following integrals: 4 1 dx ½2x+ 7 2 1 4. 5. 6. 4-5x -dx-

A:

Q: c) Evaluate the following integral | dx. x2 +6x+10

A: x2+6x+10=x2+6x+9+1x2+6x+10=x2+2*x*3+32+1    (a2+2ab+b2=(a+b)2) x2+6x+10=(x+3)2+1

Q: Evaluate the iterated integral. 8. 15 (x + y²) dx dy

A: When integrating with respect to one variable, consider other variable as constant.

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Q: Find the most general antiderivative. 4 56) √2+1 5 x² +1 X dx

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

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Q: 43. (In z)² dx

A:

Q: N3/4 4 e4x dx 5) 1 + e8x

A:

Q: Q8. Using 1/3 Simpson's rule with h = 0.1 estimate (x - 3x2 + 2). dx

A:

Q: 3. dx using n = 10 subintervals %3D 25. -2

A:

Q: Find the integral. X. dx 6 6 7 A. -x 7 1 O 2x2 7 OB. – 2x-2 +c .3 Oc. C. - 3x -2 +c

A: The explanation of answer as follows

Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin…

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Q: (x²–3)(x²+2) 1. dx x1 2. S a x-8 dx X-2

A:

Q: 3. Evaluate the following integral 5x+1 -dx (x-4)(x+2)?

A: Use the partial fraction method 5x+1x-4x+22=Ax-4+Bx+2+Cx+225x+1=Ax+22+Bx-4x+2+Cx-4 Put x=4 21=36A…

Q: Q2 ) Evaluate the integral S*9/x7 + y²) dxdy.

A:

Q: 16 – x2 dx - Evaluate the integral: 9x?

A: (A)  x=4sin(θ) (B)  19cot2(θ) (C)  -19θ-19cot(θ) (D)  -19arcsin14x-16-x29x

Q: Find each antiderivative using any method. 33. + 4 dx r[( In x)³ – 4( In x)²+ 5] 34. dx, x > 0 8x +…

A: Note: As per Bartleby rule, only one question can be solved at a time. So, kindly post other…

Q: make the given substitutions to evaluate the indefiniteintegrals. ∫2x(x2 + 5)-4 dx, u = x2 + 5

A: Consider the given integral: ∫2xx2+5-4dx=∫2xx2+5dx-∫4dx Substitute u=x2+5→du=2xdx in the above…

Q: Which of the following is the antiderivative of S ) dx? xVx+1 Vx+1-1 + C Vx+1- a. In c. In + x…

A:

Q: 2. Evaluate the following integrals: 3x dx b) S; 3-x a) Sdx 2-x 2x d) [ 3x'e*dx c) S 3xe*? dx

A:

Q: Evaluate the improper integral 2x dx, if it exists. (x² + 81)² 8.

A: The value of the integral ∫-∞02xdxx2+812 is given by: ∫-∞02xdxx2+812=-1x2+81-∞0=-181-1-∞=-181-0=-181

Q: Evaluate the integral. (e 4X +7e=x) dx |(* +7e *) dx=] 7eX) dx:

A: Given: I=∫e4x+7e-xdx we know that ∫ekxdx=ekxk+c                                             ..1

Q: Evaluate the double integral ₁+² (y + 2x) dy dx p1+z² -1/2 O 0.0892 0.0888 O 0.0982 0.0999 0.0882

A:

Q: Find the antiderivative of dx / (25 + 4 x^2) * O (1/2) arctan (x/5) + C O (1/10) arctan (2x/5) + C O…

A: An antiderivative is an integral process that can help a function to get back into its parent…

Q: 2. Use the substitution u = x² and then Integration by Parts to evaluate / x³e**dx.

A: Given: ∫x3ex2 dx We substitute u=x2, that implies du=2x dx. By using this substitution, ∫x3ex2…

Q: Evaluate the integral fe (2x+4) (x² + 4x + 2) dx n- by making the substitution u = x²+ 4x +2.

A: In the question we have to find the integral of the given function.

Q: Compute for the general antiderivatives of the functions 1. S(x – 2)? dx 2. S(2x + 3)³ dx 3. [ sin…

A:

Q: Q1)Evaluate the following integral: 2 2x2-x dx 2x2 +3x

A: the given integral is: we have to evaluate the given integral.

Q: Use the substitution formula to evaluate the integral. Vx +1 dx B) 2/2 - 1 D) 3/2 - 3

A:

Q: 2. Find the integral 2x+3 dx x2-9 a. In/(x – 3)³(x + 3) + C а. b. In[(x – 3)³(x + 3)] +C c. 2ln[(x –…

A:

Q: Q5) Evaluate the following integrals: 1. ƒ (1+√3)³ d -dx √x 2.JxỏeXdx 3.f (x+3) dx 2x³-8x

A: Since you have posted multiple questions. As per guidelines, we"ll solve only first part. If you…

Q: 6x7 – 5Vx + 3x + 4x-2 dx

A:

Q: Find the following antiderivatives. a. ∫(3x^4-cosx)dx b. ∫(5^3sqrt(x^2) + 2x-1)dx c.…

A: ∫xn dx = xn+1n+1+C. ∫ax dx = axloga+C

Q: Evaluate the following indefinite integrals. 1. S(5x + 4)11 dx 2. Sx (x² + 2)17 dx 3. fx²(9 – x³)5…

A: The solution is given below

Q: Apply the appropriate integration techniques to evaluate 9x? dx S- а. b. fxsin dr. 2 c. f(2x – 8)°dx…

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Q: Evaluate the integral. 4 – e2× dx = +C

A:

Q: Evaluate the integral Зx2 — 4х — 9 A В + C dx using x3 – 2x2 – 9x + 18 - 2 x +3 – 3* х — х — 3x2 –…

A:

Q: Find the integration of (1+ 2x)dx using Trapezoidal and Simpson's Rules for n=6

A: Given integral  ∫061+2xdx The Trapezoidal rule states that…

Q: Evaluate the following integrals: ² (x² + y²) dx dy .2 V4-y V2-x² (x + 2y)dy dx

A: Let's find.

Q: Evaluate the integral 2x (x2 + 3)° dx using the substitution 6 u = x + 3. | 2.x (x² + 3)° dx +C II

A:

Q: Find the antiderivative of 5$sinx ln 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin…

A:

Q: How do I find the definite integral of these problems?

A: (a)

Q: 2. S*3*+2 dx x+2

A:

Q: ormulas to compute the following antiderivative. x-1 x² -dx.

A:

Q: Evaluate the Double Integral. 4 V16-x2 b. 2x dy dx

A: We have to evaluate

Q: Evaluate the iterated integral. 7 2x x-2 dz dy dx -4 0 y 7 2x x-2 dz dy dx = (Simplify your answer.)…

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Q: Evaluate the given integral. 1 a) dx ² +x – 2 3 b) dr 3 – 9x2

A:

Q: Q/ Find an integating factor for the diff- equ. 2y dx + (3y-2x)dy20? to

A: Conversion of non exact differential equation  to Exact differential equation. Given differential…

Q: 5. Find the integral | 2(x* - x°) (x5 – 1)®dx x In(x + 2) dx а. d. | In x? dx | 2xe** dx b. е. 1 2x…

A:

Q: Q1-Evaluate the integral 2х — 5 dx - х2 — 5х + 1 3

A: Here I am attaching image so that you understand each and every step.