The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³+1| + C dx ³√x + √x (b). 6u + Arctanu + C (d). 2u³-3u² + 6u-6ln|u +1| + C √

Q: Evaluate the indefinite integral S- dx 3x² x³√x6-1 O 3+C sec-1 +6 O sec-1x3 3 + C ec²¹x² + C sec 3…

A: SOLUTION-

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Q: 1. Evaluate the integral (22 4т + 4)4/3 da. 3 (a) 1(x+2)1/3 +C 11 (b) (r+2)1/3 + C 3 3 (c) 교 -(x-…

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Q: Why do we use long division? Can I not split the denominator into (x+3)(X-3)?

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Q: V9-4x2 The integral of the given function f dx is x2 -V9-4x2 а. 2x Arcsin + C -V9-4x2 b. 2x 2Arcsin…

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Q: Evaluate the integral I = +2√3 4-x 4+x dx. 1. I = 2. I = 3. I = 4. I = 213 6. I = 4 37 43 2 3 π+2 2…

A: The given integral

Q: The integral, f(x) da -3du = 6x sin(x²) dx. 6x sin(x²) ✓cos(x²) Which one of the following is the…

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Q: 8x +9 dx. 4x +9x+ 8 Use substitution to find the indefinite integral 8x +9 dx = 4x +9x+ 8 (Simplify…

A: Answer

Q: Evaluate the definite integral (4x + 8x+1) dx where A is a constant greater than 2. (a) 4A3 + 8A –…

A: we have ∫2A4x3+8x+1dx   we have to evaluate this integral   and we have to apply limits…

Q: 5 — 4г — 2? dx

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Q: (a) √3x³ + 3x - 2 dx (b) √3x²+√x dx √x (c) főz (z ² − z− ¹) dz (d) 2² (3−u)(3u + 1) du

A: Since, you have posted multiple questions, as per guidelines we will solve only first question. If…

Q: EXERCISE 3 (INTEGRATION BY RATIONAL 1. Please answer the following questions. 2x +1 dx a)| x(x² +1)…

A: a) The given integral is ∫2x2+1xx2+1dx.   It is simplified as follows:…

Q: (a) 18 d.x x² – 49 (b) 20 1 - dx 2x2 – 72 (c) 6. - dx x² – 4x – 5

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Q: x+3x - 2 If the integral of (x3/2+ Mx /2 – Nx-1/2) + C, what is M and N? dx is M= N=

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Q: Use geometry (i.e., areas of triangles, rectangles, and circles) to find the exact values of each of…

A: Integration function and properties help to find the value of the given integral. The integration…

Q: 2 S√F (4- XN²3² dx 3/2 x) 3/2 2 1/2 = Sx²¹² (4- x²³²² 3²³ dx X" X 4/ 1/2 1/2 3x - 3/2 3 3/2 C4-x) +…

A: To determine whether the solution given by the student to evaluate the  integral is correct.

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Q: 1. Evaluar la siguiente integral aplicando los Método de Gauss Legendre. [₁² (2x² + 3x + 5)dx 2.…

A: For polynomials of 2nd degree, we can use the 2−point rule.The Gauss-Legendre 2−point rule is given…

Q: Evaluate the integral: - (6x + 14) (x - 1)(x + 1)² SE dr +C

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Q: 2x+5 - dx- (x² – 1)(x+2)

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Q: Evaluate Definite Integral 2. 1 2 5x³(2x + 1) ªdx

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Q: Question 5 Find the indefinite integral fx2-2xax dx ^² - x² + x 7² B. 1x6-x² 1 ²x² ²x² + x² + C o fo…

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Q: x + 1 The integral - dx has a number of fractions equal to: x (x – 1)³ (2× + 1) Select one: а. 3 b.…

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Q: 2х + 10 dx Evaluate 2(x – 4)

A: topic - indefinite integration