Find the general indefinite integral. (Use C for the constant of integration.) sec(t)(2 sec(t) + 3 tan(t)) dt

Q: Find the value of the constant  C for which the integral integral 0 to infinity [ (1/ sqrt x2 +4…

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Q: Use the basic integration rules to find or evaluate the integral. (Use C for the constant of…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt | cos?(t) V4 + tan(t)…

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Q: Evaluate the integral 8x2 dx J (æ – 3)(x + 2)² - Note: Use an upper-case "C" for the constant of…

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Q: Find the indefinite integral.

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 6)(4u + 7) du

A: Answer of given question is following below

Q: Evaluate the integral. (Use C for the constant of integration.) e60 sin(70) d0

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Q: Evaluate the integral. (Use C for the constant of integration.) Зx In(x) dx ,2 -36

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Q: Evaluate the integral. (Use C for the constant of integration.) S. x² – 16 dx x3

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Q: Find the general indefinite integral. (Use C for the constant of integration.) |(u + 5)(8u + 5) du

A: First we expand the expression ∫(u+5)(8u+5)du=∫8u2+5u+40u+25du=∫8u2+45u+25du

Q: valuate the indefinite integral. 7 dt (t + 1)?

A: Given query is to eveluate the integral.

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

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Q: Use the specified substitution to find or evaluate the Integral. (Use C for the constant of…

A: The given integral is ∫x-5x+8dx. The main objective is to evaluate the integral by the substitution…

Q: Evaluate the given integral. Use c as the constant of integration. e 22xdx

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Q: Find the indefinite integral. (Use C for the constant of integration.) dt t4 + 1

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Q: Evaluate the integral. (Use C for the constant of integration.) s¯¹(x) dx COS

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Q: Evaluate the integral. (Use C for the constant of integration.) | e20 sin(30) de

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Q: Suppose a strange particle travels with a velocity (m/sec) of v(t) = , where t is the time it has…

A: velocity v(t)=1t+1 find the travel between t=1 and t=2

Q: -1 0 -t³+1 2 3+² e dt

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Q: Q2 Find the integral for the following : dx 1 1-5 2- fe-*sec? (ne-*)dx 3- S dx 2vx+2x 1+e*

A: We have to find the Integral for given expressions. 1. ∫dx/(2√x + 2x)  2. ∫e-x sec2(πe-x)dx  3.…

Q: dt/ cos^2(t)^3 sqrt1+tan(t) Evaluate the indefinite integral. (Use C for the constant of…

A: We need to find the integral.

Q: Evaluate the integral. 1 (x² + 3)e¯× dx 0.

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Q: Find the integral of f(x) = e- sinh(x) between 0 and 1.

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Q: Derive the formula by using integration by parts on the left-hand side. (Assume n > 0.)

A: Given:

Q: J cos(2x)e2x dx (recurring)

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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: Evaluate the integral. (Use C for the constant of integration.) 4 sin Vx xp

A: To evaluate the given integral.

Q: Find the indefinite integral. (Use c for the constant of integration.) 4t³i + 12tj – 9VEK) dt

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Q: Q1: Verify that the given functions are solutions of the corresponding integral equations by using…

A: Given: ₵(x)=xex and ₵(x)=exsinx+2∫0xcos(x-t)₵(t) dt

Q: Evaluate the integral. (Use C for the constant of integration.) ∫(36dx/ (36 + e^x))

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

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.1 1.1 + 11x4.5)…

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Q: 1- xy dy = 0. 1+ xy

A: 1+xyx2y.dx+1-xyxy2.dy=0 (Now multiply both sides by (x2y2) ): y1+xy.dx+x1-xy.dy=0 or,…

Q: 12 Evaluate the integral e dx dy by reversing the order of integration. NOTE: Enter the exact…

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Q: Use Simpson's rule to find the value of the following integral -3x² dx -0.9 e 0.1 where n=4

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Q: The value of n when integrating the following function using Simpson's method is: [2²/ dx h = 0.2 >

A: solution is given below

Q: Find the general indefinite integral. (Use C for the constant of integration. 8 6u4 – u2 + du 5. u5

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Q: Find the integral for the following functions: - dx 1) . Vx²-2x+1 2) ſ e3se c(x), sec(x). tan(x) dx…

A: Solution: The objective is to find the value of given integral

Q: Find the general Indefinite Integral. (Use C for the constant of integration.) (u+7)(4u+9) du

A: Solve the following integral

Q: Find the indefinite integral. (Use c for the constant of integration. |(ei + 3tj + 16t°k) dt

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt cos?(t) V5 + tan(t)…

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Q: (d) L™ x³ cos(x* + 5) dx. (e) f(2x – 1)³ dx . -

A: For the given integral  ∫0π4x3cos(x4+π2) dx

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: dy y(y²+1)

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Q: Find the indefinite integral. (Use c for the constant of integration.) (sin(t)i + j + e"k) dt

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt cos²(t) /4 + tan(t) 6

A: To evaluate the given integral.∫dtcos2t 4+tant6

Q: A. Evaluate the following integrals using the different methods of integration 5х + 6 dx (x – 2)(3x+…

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Q: Evaluate the integral. (Use C for the constant of integration.) e8x ex/2 dx

A: Explanation of the solution is given below...

Q: Evaluate the integral. (Use C for the constant of integration.) e30 sin(90) d0

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Q: Evaluate the integral. (Use C for the constant of integration) (X^7)/(e^3-5x^8) dx

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