7x² dx Vx² – 16 - +C

Q: Evaluate the integral. V3/2 5x2 dx V1 - x2

A: Consider the trigonometric identities 1)  cos2x = cos2x - sin2x = 1- 2sin2x 2)  cos2x + sin2x = 1 3)…

Q: Evaluate the integral J dx V4-9х2 3.

A: This question is related to integration.

Q: Use the specified substitution to find or evaluate the integral.

A: We need to use the specified substitution to find or evaluate the integral.

Q: Evaluate the integral. 7y 1-7y dy

A:

Q: Evaluate the integral f 2x (x² + 6)° dx using the substitution u = x2 + 6. | 20(x² + 6)* dzx +C

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: Evaluate the integral. dx xVx² + 3

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Q: Evaluate the integral. V3/2 19x2 dx V1 - x2

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Q: Vx2 – 4 dr lx x3

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Q: Evaluate the integral. 3t2 k dt 1 + t2' 1 + t3

A: We have to find integral

Q: Evaluate the integral. 2 4y² – 5y – 12 dy Л Уу + 2)(у — 3)

A: The given definite integral is: I=∫12 4y2-5y-12y(y+2)(y-3) dy

Q: Evaluate the integral. dx Vx2 - 10x + 16

A: Given ∫dxx2-10x+16 ∫dxx2-10x+16=∫dxx2-10x+25-25+16=∫dxx2-10x+25-9=∫dx(x-5)2-9=∫dx(x-5)2-32

Q: Evaluate the integral. 2 A + 5v7 v3 dv

A:

Q: Evaluate the integral f2*-9x-9 dx x3-9x

A:

Q: Evaluate the integral. | (7x2-6x +7) dx

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Q: a+bx² dx V3ax+bx3

A:

Q: Evaluate the integral. 7x3 dx = Vx2 – 25 +C

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Q: Find the integral. |(2x3 - 3x2 + x – 1) dx A x² + B 6x2 - 6x + 1 + C (c) None of the above x2 - x +…

A:

Q: Evaluate the integral. .V3/2 35x2 dx V1- x2

A:

Q: Evaluate the integral. V2/2 5x2 dx V1- x²

A: We will solve the problem.

Q: Evaluate the integral S dx 2x3 - 3xx 1 -In 2/2 "I/3x + /2 +C En(2 { x³ - 3x x)+c 1 V2 + V3x -In + C…

A: First we take common x3/4 then put√x=t  And using integration of 1/a2 - x2

Q: Evaluate the integral: dx 3xv4x2 –9

A:

Q: Evaluate the integral f(16x3 + 4x³)dx

A: To evaluate the integral: ∫16x3+4x3dx Use the formula: ∫xndx=xn+1n+1+C, where n≠1

Q: 1 .2 VX /x²+2x +3

A:

Q: u. x + 3 2x³ - 8x -dx

A:

Q: Evaluate the integral: dx ЗxV4x2 — 9

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Q: Evaluate the integral. 7x2 Va2 - x2 dx

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Q: Evaluate the integral. dx :- X>8 x2Vx² -64 S- xp x²Vx² - 64 %3D

A:

Q: Evaluate the integral fe (2x+4) (x² + 4x + 2) dx n- by making the substitution u = x²+ 4x +2.

A: In the question we have to find the integral of the given function.

Q: Evaluate the integral. 4x2 - 3 da: J (32 – 2)(x² + 4) +C

A:

Q: Use the substitution formula to evaluate the integral. fin-√3/22 c2x dx 1 + e4x 28) 0

A:

Q: Find the integral. Saet* dx eAx + C B16e* + C e4x+1 4- 4x + 1 +C D 4x – 1

A:

Q: 15. S(x + 2)²dx

A: Solve the following

Q: Evaluate the integral

A: Given:

Q: Evaluate the integral: 3x2 dx 2Vx3 –1 x3 – 1+C Væ3 + C 1 + C x3 None of the above

A: Consider the integrals, ∫3x22x3-1dx…

Q: Find the integral. dx 3- 2х A 글메3-2x+C B -글 미 3-2지+ C c) 2 In 13 - 2x| +C D) - 2 In 13 - 2x| +C

A:

Q: Use the Trapezoidal Rule to evaluate the integral fx-¹dx. 1 2|3 NIC 34 2

A: We have to evaluate the integral ∫12x−1dx by using the trapezoidal rule. Here, a=1 and b=2 And…

Q: Evaluate the integral. S8+V5+6x+ 4x? dx - 3(5+ 6x + 4x*) + C

A:

Q: Evaluate the integral. 8 V1-t2

A: We have to evaluate the integral: ∫02281-t2dt We know the formula of integral, ∫1a2-x2dx=sin-1xa+c…

Q: Evaluate the integral. dx 7 6 36x - 49

A: Given

Q: Use substitution to evaluate the integral. (1) [3x x° 3x²Va +1dx

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Q: Calculate the integral. 2x° (x + 2)²dæ

A:

Q: Evaluate the integral. dx i. 2 x²Vx2–1°

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Q: Evaluate the integral. 5x2 +3x- Vx - 2 dx 5.

A: topic - definite integration

Q: V1+ vz dz

A:

Q: Evaluate the integral: -2 y√2y-y²dy

A: A detailed solution is given below

Q: B. dx (9-22)²

A:

Q: Evaluate the integral. 8*V1-x² dx x³V

A: Let, z=1-x2dz=-2xdxdx=dz-2x When x=0, then z=1 When x=1, then z=0

Q: Evaluate the integral. 9. dx J2 (x² – 1)3/2

A:

Q: Evaluate the integral. V3/2 dr V1- r2

A:

Q: Evaluate the integral. 1 t3 dt t2 - 4 /2V2

A: ∫2241t3t2-4dt=?