Evaluate the indefinite integral. V6 + x°dx + C

Q: (a Evaluate the indefinite integral ap0 + pt B10. where a > 0.

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Q: 1. Evaluate each integral using "u" substitution. 12x(3x2 – 1)* dx A. - x*csc? (x³) dx В.

A: evaluate the given integral  A. ∫12x3x2-14 dxB.∫-x4 csc2x5dxsolve it by using u substitution

Q: (7*-4*)dx

A: Given: I=∫13(7x−4x)dx

Q: Evaluate the integral. | a cos(4 x) dæ

A: A detailed solution is given below

Q: Evaluate the given indefinite integral. Indicate u, n, and du. xdx хах 3-x

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Q: Evaluate the definite integrals -3 a) dx b) 1. 2 c) dx d) x² dx da

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Q: Evaluate the definite integral. (Assume a > 0.) 'a²/5 x*Va? - x5 dx

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Q: Find the indefinite integrals: (a) S dx x+1 + C. (b) S da = 23 x2+1 =

A: SOLUTION-

Q: x² + 2 xp (х — 2)(x2 — 2х + 2)

A: The given integral is: I=∫x2+2x-2x2-2x+2dx   We know that; ∫1ax+bdx=1alnax+b+C

Q: Evaluate the integral. sinh? (x) cosh(x) dæ =

A: solve the integral

Q: D= XP, - (8 + 2x) xZ XP, - ( + 2*)x<] Evaluate the indefinite integral by using the substitution u…

A:

Q: Evaluate the integral | tan?x sect x dx

A: Given : ∫tan2x sec4x dx

Q: Evaluate the indefinite integral. Type pi if you need r in the answer. 11/2 + 7x5/2 – x) a - IT dx

A:

Q: cos(π/x47) x48 I need to find the integral of this

A: The given integral is,

Q: 29. -4 3x/4 dx 寸

A: Substitute x/4 = t, then  dx4=dtSo,∫-113tdt4=4∫-113tdt

Q: Given |(-6x° – 4x + 5x – 3)dx, evaluate the indefinite integral. Do not include +C in your answer.

A:

Q: Evaluate the definite integral.

A: Given: I=∫oaxx2+a2dx          , a&gt;0 for evaluating given integral, we substitute x2+a2=t2…

Q: 3e"dx ,3x – 16

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Q: 6. fe cos' (r') di

A:

Q: Suppose we make the substitution u=2+x in the indefinite integral da. What is the resulting…

A: Given Data: Integrand: ∫x42+x5dx Substitution: u=2+x5 ......1 Use derivative to obtained another…

Q: Evaluate the definite integral.

A: Now consider,

Q: Evaluate the definite integral. '4 I 4? + 2)°x dx

A: Let x2+2→u Differentiating both sides of the above equation with respect to x, we get…

Q: Evaluate the indicated integrals if b is a positive real number constant. A. ftan () dx B. dx C.…

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Q: Evaluate the integral of sin^5 xdx from x = pi/3 to x=2pi/3 a. 0.345 b. 0.178 c. 0.846…

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

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Q: Evaluate the integral 0.8 x · In(6 sin r) dæ.

A: Let us assume: u=6sinxdu=6cosxdxcosx·dx=du6 At x=0.2, u=6sin(0.2) At x=0.8, u=6sin(0.8)

Q: State u and du and then find the indefinite integral: [ x - dx x* +5

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Q: Evaluate the indefinite integral.

A: To integrate

Q: Evaluate the given indefinite integral. Indicate u, n, and du. xdx 3-x

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Q: A. Evaluate the integral of the follo x+4 1. dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the integral Se cos(2x)dx

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Q: (x² + 2x) cos(2x) dx

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Q: In evaluating x+2 dx by substitution, if 4 =x+2 then what will be the resulting indefinite integral…

A: We will evaluate this as shown below

Q: Find the integral 52? + 3х — 2 dx +C x3 + 2x?

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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: Evaluate the indefinite integral. Type pi if you need n in the answer. x7/2 4x5/2 - 1) dx = +

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Q: Let a, b, and C be a constant, verify the following indefinite integral. IVa+bx dx 2 (3bx – 2a)(a +…

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Q: Evaluate the indefinite integral. tan? x dx Answer: + C

A: We have to find ∫tan2x dx

Q: Evaluate the definite integral xp, a) S b) S

A: ∫011+7x3 dx Consider, ∫1+7x3 dx=∫1+7x13 dx=1+7x13+113+17+C     ∵∫xn dx=xn+1n+1+C &amp; x-coefficient…

Q: Evaluate the indefinite integral.

A:

Q: V ? x -dx 1-31nsec cot x

A: ∫ tanx × (1-6ln Sec x)1/2 dx

Q: Evaluate the indefinite integral. fo(z - 7°dz + C

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Q: Given |(-2x° + 3x – 3x° – 6)dx, evaluate the indefinite integral. Do not include +C in your answer.…

A: Integral x^n is x^(n+1)/(n+1)

Q: Evaluate the definite integrals a. help (numbers) b. 6e dx

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Q: Evaluate the definite integrals

A: Given,

Q: Evaluate the following integrals: 1. So? 2. cos 2x dx

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Q: What is the integral of cos xdx from pi/3 to pi/2? A 0.134 В 0.500 C) 0.293 D) 0.707

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Q: Evaluate the integral. 14 sin (x) cos (x) de

A:

Q: Evaluate the integral. 13 dx +C NOTE: Enter the exact answer.

A: Here we will solve the given integral,

Q: esin(e")dx 8 cos (e*

A: Evaluate: ∫exsinexdx8cos2ex