stloh 7. ain the integrals of the functions f(x), entering your answers in the specified form, where c is an arbitrary constant. 1. (2x + 5)7, x) dz = A(2a + 5)P + c, where A p = 2. 11 V(4r – 3)5 x) dæ = B(4x – 3)ª + c, where B values of A, B, P, q are fractions or integers.

Q: Suppose ftowak= -4. Jtodk=7, and fawan=2. Sowx -4, f(x)dx = 7, and g(x)dx = 2. Evaluate the…

A: we can evaluate the given integral by applying the   following properties.     ∙∫ab fx  dx=-∫ba…

Q: Suppose f has absolute minimum value m and absolute maximum value M. Between what two values must…

A:

Q: In(x) Differentiate the function F(x) = | cos(e') dt %3| 1/r Show and justify your work. (Hint:…

A:

Q: 1. Evaluate the indefinite integral (a) S (e2× +– 3) dx (b) S(4x³ + Vx)dx 2. Find the function f(x)…

A: We will use the formula ∫eax dx= eaxa∫xndx = xn+1n+1∫1xdx = ln(x)   Hence 1) a)  ∫e2x+2x-3dx =…

Q: - 23 L f(2)dx = 11 - 82 and - 23 L g(z)dæ = 30 82 and – 23 h(x)dx = 25 - 82 | what does the…

A: Given ∫-82-23Fxdx=1 -1          ∫-82-23gxdx=30-2          ∫-82-23hxdx=25-3We find…

Q: 6. (a) Determine the following integrals: S(16x³ + 6x? - + 50e* + 100)dx (ii) 40x(10x? – 5)² dx (i)…

A: Since you have asked multiple questions we will solve the first question for you. If you want any…

Q: Using the 'simple chain rule backwards', obtain the integrals of the following functions f(x). Enter…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Question #23

A: We have  to find integral and vefiry with the help of differentiation .integral is given below:

Q: 8. The integral What is the value of A. B. can be rewritten as 15x²x³43x - 19 (x + 1)²(x² - 6x +13)…

A: Let's find.

Q: 4. 7. Suppose f(x)dx = -6, f(x)dx 6, and g(x)dx = 2. Evaluate the following integrals. 2 ... Jgndx =…

A:

Q: 5- The value of the integral J. (Z+1)4 Where C is Z = |3||

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1.…

Q: If 8 10 | f(2)dæ = f(2)da + I f(æ)dx - / f(x)dx, 4 8, 4 what are the bounds of integration for the…

A: Given information:-

Q: The integrand in the problem dx doesn't look like a nested function, but the problem can be…

A: Question is solved.

Q: definite 10) Evaluate the s Integral S dy 1x+7

A: We need to evaluate the following integral ∫04dx1x+7

Q: Зх-1 4r r+9 J, V1-2x+3x2 dx, where r: (4 + --), and ris not an element of Real number for all values…

A: we have to find value of integration…

Q: 4. Integrate the following polynomial analytically and obtain the exact value of the integral…

A: We have to integrate the following polynomial from x=4 to x=10: fx=-46+45.4x-13.8x2+1.71x3-0.0729x4.…

Q: e the Fundamental Theorem of Line Integrals to calculate F. dr exactly. F- 4 sin(4x + y)7 + sin(4x +…

A:

Q: 0.6 3 by taking h = 0.1 fx-e* - dx solution of the integral with Simpson's which one? · method 8

A: Here we have find find integral of given function using simpson's 3/8 rule

Q: 2. Evaluate. th fallowing.integrals.a.fte..seueo.ing.the arder.af.integratren. dyd x Ans..In7)4…

A:

Q: 3 I [(e* +x² + A\dx Дх 3 0,25 1

A:

Q: -2 1 dx to Determine the minimum value of n required to approximate Jo x+4 within 10-5 by composite…

A: Given Integral: ∫021x+4dx to within 10-5 by composite Simpson's rule

Q: 5. Evaluate the integral A by Simpsons rule with 2m = 8, and compare your result with the exact…

A:

Q: Q3 The vertical distance travelled by a rocket from x = 8 to x = 30 seconds is given by: s = ° (2000…

A:

Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: 5. Express 0 lim E (5x2 – 9x +16)Ax;[ – 8,4] as a definite integral. L (5x – 9)dx b. l' (10x – 9)dx…

A: The given sum is lim∆→0 ∑k=1n5x2-9x+16∆x; -8, 4. The given limit can be expressed as the integral of…

Q: 6) Evaluate the improper integrals ∞ 5 a) 5² (+ + e-") dx s (-x) е 2 7 5 b) ² = 8 dx 4x-8 2

A:

Q: 15x²x³43x - 19 can be rewritten as (x + 1)²(x² - 6x +13) Ax + B C D Slax ² + + lax² + bx+c (mx + n)t…

A:

Q: 3) Approximate the value of following integrals by using composite Trapezoidal rule, composite…

A:

Q: Q.2. Calculate the integral of: f(x) = (3x+1) from a=-0.2 to b=0.6 by using Simpson's Rules only and…

A:

Q: In(x) Differentiate the function F(x) = | cos(e e') dt (for x>0)- 1/x Show and justify your work.…

A: The given function is: Fx=∫1xlnxcosetdt To differentiate the given function.

Q: 2- What is the solution for this integral? x²e¯* dx a) e-*(x² – 2x + 2) + C b) -e-*(-x² + 2x + 2) +…

A:

Q: 2 Use properties of integrals to evaluate S [(e2") – (e*)] dæ, 1 2 2 if S (e2") dæ = $ – : dz = $ –…

A:

Q: 4) A company purchases a new machine for which the rate of depreciation is dv maner 10,000(t-6),0 ≤…

A: Given query is to find the total loass of the value in first 3 years.

Q: 2. Evaluate the given integral. S1– x if æ > 1 | 2² – 1 if a <1 f(x) dx, where f(x)

A:

Q: Q3. Evaluate the integral I = √_^₂(1 − x − 4x³ + 2x5)dx by; a. Analytically b. Single application of…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: 0 1 Q3:Evaluate the integrals [(x+y+1) dx dy -1-1

A:

Q: 2- Approximate each of the integrals in the following problems with n = 4, by (i) The trapezoidal…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. Suppose f(x)dx = 2, f(x)dx= -5, and g(x)dx--5. Evaluate the following integrals, 2. g(x)dx = 7.…

A:

Q: 1 c) (x² + e#)% ( Hint for part (c): Try to use Comparison Theorem for Improper Integrals) -d.x

A:

Q: 6 6 iwen ["r*dz = 320, x³ dx x dx 16, dx = 4, evaluate the following using properties of definite…

A:

Q: 25 20 15 10 5 ol 1 2 3 4 5 * a. Approximate , g(x)dx using the area of the rectangles in the image.…

A: According to questionWe have to calculate the approximate area.

Q: 1) Find the indefinite integral of the following functions: 3 2x+ 3x4 a) y = Axt B 3 b) y =x-1 +…

A: Indefinite Integration

Q: Evaluate the integral. S4 15 – x² if -4 < x < 0 f(x) dx where f(x) %3D -4 if 0 < x < 2

A:

Q: 1. Find the value of the constant C for which the integral C 2+1 x+2 xp{2+% is convergent. Evaluate…

A:

Q: 2 Find fx) + 2g(x)]dxif / F(x)]dx = 5 and / [g(x)]dx - 3. 1) In order to evaluate this integral, use…

A:

Q: IE < (b - a)3 12n2 -[max |f"(x)|], a < x s b Trapezoidal Rule |El s (b - a)5 180n4 [max |f(4)(x)|],…

A:

Q: | (4æ – 8)* dz du -- where u =| (enter a function of æ) du =| dæl (enter a function of æ) a=| (enter…

A:

Q: 5. Find the indefinite integral of the following functions : Hint: use integration by parts (a) / -…

A:

Q: 2. Evaluate the following Integral by using suitable method: 2y3 + y y4 + y2 + 1 dy -

A:

Q: 2³ + z11 in the form f f(x) dx = g15 A+ BrP Obtain the integral of the following function, f(æ) = -,…

A: