For 1/2 U -dx and using the substitution -du -du 4u √4-(2u²) ² 4u du -du 1/2, the resulting integral takes the form: u=x²

Q: ddy if y= (x² + 4x)² dx Simplify completely. Do not multiply out any binomials raised to more than…

A: y=Rules(i) (ii)  (iii)

Q: Evaluute the integra dx 0 16+49x2

A: Here we have to evaluate I=∫-∞∞dx16+4x2

Q: x - 7 dx. /x². Evaluate the integral 2

A: Answer and explanation is given below..

Q: S Vx8 – 6x6 + 9x4 dx is equal to -

A: The equation of integral is ∫x8-6x6+9x4dx.

Q: b) By using appropriate substitution, solve the integral 7x dx. (1–4x)"

A:

Q: ·x+yi dz Vaz + b

A:

Q: x2+1 - dx x4-x²+1

A:

Q: [7] Use long division and complete the square to solve the following integral. x² - 4x-2 dx x² -…

A: Explanation of the answer is as follows

Q: Evaluate the integral 1 √xe √x : ² (2e √x - 3) dx 2 CSC

A:

Q: .2 dx Jo (9 + x²)2

A:

Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: I [20 / (e(8-10x) dx. The integrand equals 20 divided by [e raised to power of (8 - 10x)]. O…

A: ∫ex dx =ex+C

Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: S (In 2x2 dx

A: Evaluate the integral :    ∫ln 2x2 dx

Q: Show that: -1 xb-1 In x dx b2 2-

A: we use integration by parts

Q: V 6² — (x − a)². b) Use a trigonometric substitution to evaluate the indefinite integral. s dx You…

A:

Q: Compute the following. d [(3x11+5x7-12xª+16x²+28x)(7sec(x)-5x-4–14)] dx

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Q: Q.2: Evaluate: -2 2 dx 1 I = x2 - 8.

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Q: Evaluate the following integrals. 1 Use the method of completing the square. |24+10x–x² - 4x² – 21x…

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