Evaluate the following integral. 5 4x-3 -dx x+1 5 ' 4x - 3 | (Type an exact answer.) x+1

Q: Q2 – Evaluate the following integrals ii. ((23*e-*)dx

A: Given integral, ∫23xe-xdx

Q: 7 Evaluate the integral da. (4+x2)? NOTE: Enter the eract answer. dx = 0 (4 + a2)*

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Q: 4. Sx 2* dx

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Q: 6 (x²+1) dx S (23+3x-2)²

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Q: Q2 – Evaluate the following integrals. i. S(sin(4x) + cosh(3x))dx

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

A: integration using integration by parts method if it is helpful appreciate me.

Q: e2x sin(e)dx cos (ezx)+3

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

Q: Evaluate the given integral. Use exact values. – 2x – 14 dx (x + 3)(x – 5) +C

A: topic - indefinite integral

Q: Q1. Evaluate the following Integrals 1 dx xVx

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

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Q: Evaluate the following integrals. Show the solution. 1. fcsc² (7x + 5) dx 2. x² sec (4x³ +9) dx dx…

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Q: Find the following indefinite integral. +2e -0.1x dx

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Q: evaluate the given integral. L (2x - 3/4) dx

A: Solution:Given     Let     I=∫ 2x+34 dxFormula:∫xndx=xn+1n+1+C

Q: |Q1 - Evaluate the following integrals i. 2x+5 •dx x2+3x-10

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Q: Evaluate the following integral as it is written. 1 4x 3xy dy dx 0 x3 1 4x 3xy dy dx = 0 x3…

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Q: - 2 – 3x dx

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Q: Evaluate the following integral. Enter an exact answer. •3 4 3 dx x3

A: Topic = Integration As per guidelines , At a time only one question can be answered,

Q: 17 e- dx x=0

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

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Q: 2) Evaluate the integral and check your answer by differentiating. dx b) Jx"(2-x)° dx

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Q: Which of the following is one of the correct/convenient steps to evaluate cot-4dx which will yield…

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Q: 4. Determine the following integrals 1 x – 4m x + 13m2 4.1 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Evaluate the following integrals: 1) 3x(x-5) dx

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Q: Q4 Evaluate the following integrals cosh? (=) dx -In2 1 - fe 2 - cosh(lnx) dx

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Q: Evaluate the following improper integral. Give an exact answer. 1. dx 2/3

A: Given that ∫051x23dx, we have to evaluate the following improper integral.

Q: Evaluate the following integrals i. L Ix| e(1+x*) dx -0.5 ii. So x cosh(x² + 1) dx

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Q: Q3 Evaluate the following integrals X. cosh? () dx -In2 1 - | 2 - cosh(lnx) dx

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Q: SIxe3*] dx (by parts) 4. 5. 2 }dx 6

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Q: 6. For each of the following improper integrals, find the value of the integral or explain briefly…

A: (a) Given integral is ∫01003x−12dx Use formula ∫xndx=xn+1n+1+C Hence,…

Q: -2 dx o (x-1)2

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Q: 5. Evaluate the Integral ?(x²-2)"dx

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Q: Evaluate the following integrals. 1) La7 dx Ans. 4 1 v1-2x-x2

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Q: dx (6-x²)3/2 S"_ tan (x)dx

A: On solving these integration we will get

Q: Evaluate the following integral. -0.8x dx 3 e S. -0.8x dx = 3 e (Use C as the arbitrary constant.)

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Q: Evaluate the following integral as it is written. 1 2x ху dy dx 0 x? 1 2x ху dy dx %3D (Simplify…

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Q: 1 36* dx V6* + 3 2x dx x2 + 2x + 5

A: The given integrals are: ∫0136x6x+3dx and ∫2xx2+2x+5dx

Q: 6. Evaluate the following integrals: (a) /sir sin³ x dx

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Q: I. Evaluate the following integrals. 1. / 20- dx 2 x)5/2" x(9 – In².

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Q: 4) Evaluate the definite integral: s?(2n² - 4x + 8)dx. |

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Q: Evaluate the following integrals: 2r3 2) 2x2 + 1 - dx x² - x 1) | dx

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Q: Evaluate the following integrals: (3 – e² ) da – e² ) dx =

A: To find:∫3x-exdx

Q: х-1 dx х3—x2—2х

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Evaluate the following integrals. (а) 1 (&r + 1)572 dx (b) -dx Vx

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Q: e" cos(e“)dx

A: Let I=∫0∞excosexdx  Put   ex=t⇒exdx=dt When x=0, t=e0=1 When x=∞, t=e∞=∞ So, by substitution, the…

Q: Evaluate the integral. (4+ e)2C dx

A: Given:

Q: Evaluate the following integral as it is written. 5 5 4y dy dx 0 x

A: To evaluate the integral: ∫05∫x54y dy dx Solution: Evaluating the given integral. ∫05∫x54y dy…

Q: 6. Sxe -3* dx хе

A: We solve the above integral using integral by parts which is given in step 2 .

Q: 3x Se 3x-e dx

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

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

Q: 3. S: (х2+2)2 dx

A: