II. Find the value of the definite integral xV[a2 – 9| +7 dx 0.

Q: The value of the definite integral' f(x )dx for f(x) = 3 is:

A: We are going to evaluate the value of the given definite integral for f(x)=3

Q: Q3. (30pt) Calculate the integral 2x³ – 4x + 1 - (1– cos x) dx 1+x? a) for n= 10 according Simpson…

A:

Q: 5 Find the following indefinite integrals. 10 a. f(x+2)' dx b. J d. [4 (3-&x) dx c. (3x-7) xp-

A: c)

Q: (3) Evaluate the definite integral i r8 x+x² dx.

A:

Q: Evaluate the definite integral. e4 dx xylnx

A: We can evaluate the integral as below.

Q: Find the value of the definite integral x/]r² – 9| + 7 dx |z²

A:

Q: 3 In 3x Evaluate the definite integral : dx 6x2 Answer:

A: To evaluate the given definite integral

Q: Evaluate the definite integral. cln 8 So° f (x) dx, ƒ (xæ) =6e* /(5+e*)

A:

Q: 49 What is the value of the definite integral 21x -4 dz? Provide your answer below:

A: To evaluate the the given integration .

Q: Find the indefinite integral.

A: Let ex+e-x=v. Differentiate both sides: (ex-e-x)dx=dv Substitute v and dv in the integral…

Q: Find the indefinite integral.  (7-e^x)/e^3x dx

A:

Q: Find the indefinite integral. 3 8 dt = t3 t2 +C

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: Derive a formula for In x dx where a. nt-1 b. n=-1

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 the indefinite integral. t2 dt 3= t3 +C

A:

Q: Evaluate the definite integral. 2 e 1/x* dx x

A:

Q: Evaluate the definite integral (a) ľ² _l+ x +24 dx, (b) [¹² (x² + 3) (2x + 1)dx, (c) [¹ x²e²¹dx -1…

A: ∫-11 xdx1+x2+x4

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

A:

Q: (In x) dx x+1 c) d)

A: Definite integration

Q: Q2) Evaluate the integral x dx a -0.

A:

Q: 1. Evaluate the integral |(x² - 5)e*dx 8.

A: Given that: ∫0∞ x2 -5e-3x dx To find: The value of the given integral. Let I = ∫0∞ (x2 -5)e-3x dx…

Q: 5x+6 Consider the indefinite integral e+0 dx:

A: given equation= e5x+6

Q: -1 2x Evaluate the integral dx = 0 x*+1

A:

Q: Q2) Find the integral of: 6 tan*x dx

A:

Q: Evaluate the indefinite integral 5e" dæ S 5e² dx +C

A:

Q: Find the indefinite integral.

A: ∫ exex+12dxSubstitute u =ex+1=∫ u2duApply the Power Rule:  ∫xadx=xa+1a+1,    a≠-1=u2+12+1Substitute…

Q: Find the indefinite integral. (Hint: x² – x-4 ) g6 – 1 dx + C

A:

Q: Evaluate the definite integral. 피/2 x° sin x dx -T/2 1 + x6

A: The given function is x6 sinx1+x6 We have to integrate this function over the interval -π2, π2.

Q: -2 What is the value of the definite integral e* dx? -4

A:

Q: Evaluate the definite integral. 10x dx 19+5x2 Select one: OA. - 2 1 + 6 B. 14 2 2 C. VT - 3 D. 2/T -…

A:

Q: Q19: Evaluate the definite integral: (5 – 2x)-2 dx Jo

A:

Q: 5 Find the following indefinite integrals. 10 b. J- S(x+2)' dx a. (3x-7) xp-

A:

Q: (3) Evaluate the definite integral e + e -dx

A:

Q: Find the indefinite integral. | Vi (e* +t - 1) dt

A:

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

A:

Q: Q18: Evaluate the definite integral: 4x dx V1 + 2x²

A: To find the definite Integral  Substitute 1+2x^2 = t and change the limit accordingly

Q: -2 Evaluate the definite integral S: 1 dx. 1 x+a²

A: general answer is Ln|(2+a^2)÷(1+a^2)| Where a = -3/5 Final answer is Ln|59/34|

Q: dx (b) . +2) (x +3)

A:

Q: Evaluate the definite integral integral a=0 and b=1    7/ 1+x2 dx

A: Refer to the question, we have to solve the definite  integral a=0 and b=1    7/ 1+x2 dx.

Q: Evaluate the definite integral. 6. -x e dx eX + 5

A:

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

A:

Q: e2 dx -2

A:

Q: Q2) Evaluate the integral x* dx 0.

A: To evaluate the given integral

Q: Find the integral +C 1 dx x² – 16

A:

Q: Find the integral [(x** +(-1)°x*!) In((a+2)x)dx b+1 с+1

A: The integral has been solved n attached in the second step.

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.