Evaluate the integral. 2 xP 2x² + 3x + 1

Q: 2. [L-4) 5 (y+3)*

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Q: 1 xp x7 – x

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Q: Evaluate the integral. 1 dr 25 + r2

A: we will let  25+r2=t2        to solve this question.

Q: 32 n2と

A: We are going to solve

Q: 1 x5(x4 + 3)

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Q: Evaluate the integral of * 4xV16 x2 using the new variable. а. 2/3 оБ. 256/3 c. 255/3 O d. 15/3

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Q: Evaluate the integral. 8 4

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Q: Evaluate the integral. 8.

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

Q: Evaluate the integral: ∫ csc2(9 − 2θ) dθ

A: To evaluate: ∫csc29-2θdθ

Q: Evaluate the integral. + 6)e-x 3.95

A: Given: I=∫01x2+6e-xdx  ...(1) The expression for the integration by parts: ∫udv=u·v-∫vdu Now apply…

Q: a²x² – 62

A: To evaluate ∫xa2x2-b2dx, use the substitution method and substitute a2x2-b2 with u and obtain…

Q: Evaluate the integral.

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Q: Evaluate the integral dr. (9+)3/2

A: Use trigonometric substitution to simplify the integral.

Q: 3x-4 *P 4

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Q: Evaluate the integral /16 – æ² dæ and simplify

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Q: Evaluate the integral by long division Jarォ 2x²+7x-3 xp- X-2

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Q: Evaluate the integral. '4 x2 + x + 1 xp Jo (x + 1)2(x + 2)

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Q: Evaluate the integrals

A: ∫012-θdθ Now, using the formula of integration as, ∫axdx=axloga+c to integrate the given integral.…

Q: Evaluate the integral below.  1. ∫ 57x2+3xdx

A: Consider the given integral as ∫57x2+3xdx

Q: Evaluate the integral. 3 x² + x + 1 xp lo (x + 1)²(x + 2)

A: To find:-   Method:- we use partial fraction method

Q: S csc4 5x cot 5æ dæ

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Q: Evaluate the integral. 2x xp 82.2

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Q: Evaluate the integral usir бх? —7х+11 a) 3x -2

A: The handwritten solution of both the questions is given below-

Q: 3 cl 2nfo So" xdxdy хах

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Q: Find or evaluate the integral. da 13 a. 14x

A: The given integral is∫3dx-x2-14x-13.

Q: Evaluate the integral 20 2) dr by making the substitution u 2. NOTE: Your answer should be in terms…

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Q: Evaluate the integral. P(p + 6)°dp P(p + 6)° dp = %3D

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Q: Evaluate the integral. P(p + 7)® dp P(p + 7)° dp =

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Q: Evaluate the integral 41 da 5

A: given

Q: Find the integral. 1 + C 5x4 A 1 + C 5x4 В

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

Q: Evaluate the integral. P(p + 6)°dp P(p + 6)°dp =

A: Given the integral ∫pp+65dp.

Q: y = 2 16-2

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Q: Evaluate the integral |4x – 1| dr. Answer:

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Q: Evaluate the integral. 32+3 8x

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Q: Evaluate the integral: a/100 – a* ,3 -

A: We have to evaluate the integral ∫x3100-x2dx.We shall solve this by substitution method. Let…

Q: dr. r² – 25

A: Given integral, ∫xx2-25dx

Q: Evaluate the integral 12

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Q: Evaluate the integral. 1 | (4 + r)³ dr

A: Given query is to find the value of the integral.

Q: Find or evaluate the integral by completing the square.

A: To evaluate the given definite integral by completing the square.

Q: Evaluate the integral|5x-1| dr. Answer:

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Q: Evaluate the integral: 2 64x dr + C

A: given,       ∫2-64x2dx

Q: Evaluate the integral. 1 X - 4 Jo x2 - 5x + 6 xp

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Q: Evaluate the integral. 0∫1 r3 /√16 + r2 dr

A: We will evaluate the given interval using definite integral properties

Q: Evaluate the integral. 2 + du - Step 1

A:

Q: Evaluate the integrals ∫csc4 θ dθ

A: We have to evaluate the integrals: ∫cosec4 θ dθ Rewriting the given integral, ∫cosec4 θ dθ=∫cosec2 θ…

Q: (a) +8+16

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Q: Replace the letter A in the integral A(4x° – 5)° dæ so that the integral evaluates to - (42° – 5)* +…

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Q: Evaluate the integral. 13 dr 16 + r2

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Q: Evaluate the integral. 25 1 2х xp 1

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Q: evaluate the integral 30 6x+フ×+1

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