Evaluate the given definite integral. - 2 | 2x (4 -x²)* 3 dx - 3

Q: Solve the following Integral Equation: x(0)= 3 =-t +

A: Given ∂x∂t=-t+∫0txtdt with x0=3 We will solve the differential equation using Laplace transform

Q: dx 1 = S- g2+x2

A: Solve

Q: Evaluate the following definite integral. Assume that B > 1. -в 2х + 8 dx x2 + 8x + 9 /1

A:

Q: Calculate the following definite integral: |x² – 1| dx -2

A:

Q: (2) Evaluate the definite Integral √² (6x +9) dx

A:

Q: Evaluate the definite integrals. 7/4 a) z tan(x?) dx b) [ 5a*e dx

A: (a) ∫0π/4xtanx2dx Let, u=x2 The derivative of the above equation. dx=du2x The lower limit is, a=02=0…

Q: C) Evaluate the definite integral: | (5x – e²) dz

A: Given definite integral is: ∫-535x-exdx

Q: x - 1 dx x² +1Xx– 2)

A: First of all use partial fraction then differentiate.

Q: Evaluate the following definite integral. 14 7 dx x - 6 6,

A:

Q: Evaluate the definite integral. 2 e 1/x4 dx x5

A: To evaluate the definite integral.

Q: b) S(x3 + 3х — 1) dx

A: we have to find integration

Q: Evaluate the definite integral.

A: Consider the given integral. I=∫-π3π3x4sinx The given function is continuous function in the given…

Q: Evaluate the definite integral: 4 dx 0 x2+16

A:

Q: I = 1 + (x-a)k dx [x-a

A:

Q: D) Calculate the following definite integral: [* (/{√x - 1) dx

A:

Q: Find the definite integral of S, (2x + x2) dx

A:

Q: A. Evaluate each of the following definite integrals. 2 1. S (8x3 + 3x²) dx 2. (1+ 2x – 4x²) dx 3. .…

A: Suppose f:a,b→ℝ is a continuously differentiable function, and there exists another function φ such…

Q: Evaluate the following definite integrals: i. ∫0  -1  (xe^(-x2+2)) dx  ii.∫1   0  (x^4+7e^x− 3) dx

A: To Evaluate the following definite integrals

Q: dx (16+x)³3/²

A:

Q: Evaluate the given definite integral [ 2x³ – 6x² dx, from x = 1 to x = 2 X²

A:

Q: (x² +2x-2)dx 3

A:

Q: Evaluate the definite integral.

A:

Q: 2 Evaluate the definite integral S: 1 dx. 1 x+a2 ter -17 a- 19

A: solution:

Q: 7.) Evaluate the following definite and indefinite integrals a.) ò (5-2x* -2x*-cos.x)dx +6x)dx b.)

A: Follow step 2

Q: 3. Evaluate the definite integral. Give exact answers S(x² + 2x – 4)dx - a. ~2 2x+1 dx Vx2+x-2 b.

A: Take integration. Follow step 2nd .

Q: Evaluate the definite integral. 2 e 1/x5 dx х5

A: The given definite integral is,

Q: Evaluate the definite integral. 1/2 + a? dx (a > 0)

A:

Q: b) Calculate the following definite integral: [*(√x - 3) dx

A:

Q: Given 3 f(x) dx = 9 and f(x) dx = -3 evaluate each definite integral. -10f(x) dx =

A:

Q: Evaluate the definite integral: I (x + x*) dx 2/3 O 1/3 O 1 None of these

A: The definite integral is given as ∫-11x+x2dx

Q: Evaluate the given integrals 1 -dx b. Į S7-2 cos x

A:

Q: 3. fx² √9-x² dx

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: So 0 Evaluate the integral, if it exists. exc 1+e2x dx

A:

Q: Evaluate the definite integral I. 1 = [₁² [(e-x + 1) dx -1 I =

A:

Q: Evaluate the definite integral. e4 – x dx 14

A:

Q: 11. Evaluate the definite integral J, 02 1 -dx. 1 x+a²

A:

Q: (а) 4x³ dx -2 (b) | (2г° — Зг + 6) de (c) | (2г — Зг + 6) de

A:

Q: Evaluate the definite integral. 7e +1 '2 x e4x dx = 16

A:

Q: 3) Evaluate the following definite integral : x 1 + x dx

A: We are solving the first question and for the next question post the question again andalso mention…

Q: Evaluate the definite integrals. (a) ſ°, 2r(x² – 3)³ dx

A:

Q: 1. Evaluate the following definite integrals. 214-2*|x dxr

A:

Q: Evaluate the definite integral. e2 - x dx

A: The given integral is as follows. Let u=2-x. Then, du=-dx. The Lower limit will be u=2-2=0 and the…

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 definite integral. (x2 - 2)2 dx

A: To find the integration

Q: aluate the definite integral. x6 + a2 dx (a > 0)

A: We have to find the integral

Q: х — 1 dx 2?(а + 1) 1

A:

Q: 2.x dx +1, x'

A: Let I is the value of given Integral.

Q: Evaluate the definite integral. (a) S, (x³ – 6x² + e-*)dx (b) S G+ 2)dx

A: a) ∫02x3-6x2+e-xdx=x44-6x33+e-x-102 Formula: ∫xndx=xn+1n+1 and ∫emxdx=emxm=x44-2x3-1ex02…

Q: Evaluate the integral. 2 e 1/x5 dx

A: Rewrite the function as follows: ∫12ex-5x6dx