Find the indefinite integral. (Use C for the constant of integration.) e 4x - e 2x + 1 dx ex

Q: In solving for the -dx, what technique is suited to solve for its integral? x²+1 A integration by…

A: Let I = ∫ x3 + 1x2 + 1dx = ∫x3 ( x2 + 1)dx + ∫ 1x2 + 1 dx, As we know ∫ 1( x2 + 1) dx = tan-1 (x) ⇒I…

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 30 Vcos 3e de 2 cos 30{3…

A: Solved below

Q: Find the following indefinite integral. Use C for the constant of integration. VI + 3 V) dx Answer

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Q: dx = cx – bx? dt

A: Variable separable method

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 x/ 25 - (In x)? In(n1) 5…

A: The given integral,∫5x25-ln x2dx

Q: e Inx dx 1

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

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Q: 2. Find a) ³ dx b) xdx. Hence, find whether the following integrals exist and, if they do, find…

A: To evaluate the given improper integrals

Q: Evaluate the indefinite integral. (use C for the constant of integration.) (-1) 6+C J (- 7)7 18(x…

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Q: (7x²) · e3*dx r1/2 cos(Tx) · ešin (r2)dx •ln(3) et Jin(2) ez +7dr et +7

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

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Q: Qg: Find the integral for the following functions: - 2) S exp(ln(2)²*)dx

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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: 13. How many times will you perform integration by parts to evaluate sin(Inx) dx? A. 1 B. 2 C. 3 D.…

A: Let's find.

Q: I. Evaluate the following integrals. •ln 2 #3. e2" sec-(e")dx

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 1…

A: We first try to complete the square. -x2-12x=-(x2+12x)=-(x2+12x+36-36)=-(x2+12x+36)-(-36)=-(x+6)2+36…

Q: Find the indefinite integral. (Use C for the constant of integration) S cos h² (x – 7) sin h(æ – 7)…

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Q: dx Solve the integral: 1

A: Integrated by using complete square

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

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Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 14tj – 6VEk) dt 3 A+…

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Q: Find the indefinite integral using the substitution x = 2 sin(?). (Use C for the constant of…

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Q: 11. Find the value of the integral dx. d) None of the above

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Q: 5) S RIN A) 2 √5 В) Зл dx the correct solution of this integral is:-

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Q: E. Find the indefinite integral. -dv 1+ 7v

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Q: dx: Consider the indefinite integral e* +4

A: We have to evaluate the integration by substitution.

Q: x3 + 3x + 1 dx| J (x + 1)²(x – 2)² Find A, B, C, and D then find the integral?

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Q: csc? (2x) dx 1 + 5cot² (2x)

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Q: e6x Find the indicated integral (if it exists) dx = +1 e12x

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Q: b) S x² Sin(x") dx 3

A: Given, ∫x3sinx4dx  We have to determine this integral .

Q: -9 In t dt J4

A: Evaluate: ∫49lnttdt

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: f(x)=√ √atan(x) dx f(x)= | sinh xã dx

A: Two functions are given by, fx = ∫atanx dx and fx = ∫sinh x2 dx. The objective is to find the…

Q: Find the indefinite integral. [Hint: Use u = x² + 5 and 1 un du = 1 + C (n # -1).] (Use C for the…

A: Given,          ∫x2+58xdx

Q: Find as many of the following integrals as you can using the formulas and techniques you have…

A: Part (a) - Let the given integral be y - y = ∫dxxlnx           ......................(1)Let,t = lnx…

Q: What will be the value of dx be, if v9- 4/5 is expressed in the form 5 - a, where both where a and b…

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

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Q: ad the indicated integral (if it exists) E dz +1

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Q: 3(b) Find the indefinite integral of S*vx+6 dx

A: We need to find integral.

Q: 2e" dx (e – 1)2 1

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Q: In3 (1 – x)el×l dx solve this integral without integration by parts.

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Q: 1+e* dx X- e-t

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

A: This question is based on Indefinite Integral.

Q: (ii) Find the following indefinite integrals: 1 (a) dx (b) dx 5 - x* xe* ! dx (c)

A: A)I=∫ 1x3+1x3 dxI=∫ x-3 dx + ∫ x-13 dxI=x-3+1-3+1 +x-13+1-13+1 +CI=-12x2+3 x232 +CI=32x23 -12x2+C

Q: Find the indefinite integral. (Use C for the constant of integration.) | VECES + √t(t + t - 4) dt TE

A: Given the query is to finding the integral.

Q: Sõlve the integral - In 3 x'e-*dx 2.

A: The given integral ∫0ln3x2e-xdx can be evaluated as, ∫x2e-xdx=x2×∫e-xdx-∫ddxx2×∫e-xdxdx+C…

Q: f(x) = e-* cos(2x) dx

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Q: Find the following indefinite integral x^3 e^x^2 dx

A: Given integral

Q: 2х-х2 dx

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 1…

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