Find the indefinite integral. 1. Step 1 14 1 + 49x² J Rewrite the original integral dx 14 1+ 49x² J 2/ dx = 2 = 2 14 1+ 49x² 7 dx 1 +49x² (1)² + 7 as follows. dx X dx

Q: 2. [2x(x²-1) dx 3. 4 √(2x² - 5x+3)( 21² 5x² + 3x) a dx 3 2

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Q: Evaluate the integral. (5x2 - 4x +5) dx

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Q: a. e (6+Inx) 2 1 -dx b. 3. ¾ x je 1 -dx c. +7 dx J d. 3

A: As per guideline we can solve maximum three subpart you can repost

Q: 1 dx 4x 12 /-

A: Our Aim is to integrate ∫2314xdx -(i)

Q: 12. la

A: Integration of the function: - The integration of a function with no bounds is known as an…

Q: xp z/1 (1 − 1-x7)x^ S 4.

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Q: Evaluate the definite integral. 7x-4 dx Select one: O A. -2.34 OB. 28 O C. 2.33 O D. -2.33

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Q: (2x – 3y)dx – (-6y + 4x + 1 )dy = 0

A: Given that 2x-3ydx+4x-6y+1dy=0

Q: Solve for k such that 1 | k(x² – 2x + 1)dx = 5

A: Given problem:- ∫ k(x2 -2x+1) dx =5  Solve for k

Q: Compute the following.   d/dx(3x+5)2 x=1

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Q: 4. 5x + Vx) dx = |(Simplify your answer.)

A: From the given problem:   I=∫145x2+xdx   Applying  the sum rule:   ∫fx±gxdx=∫fxdx±∫gxdx   Now,…

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: Evaluate the integral. e³x S= 8+e3x Select One 1/8 + c 3ln (8+e^2x) + C 1/3ln (8+e^3x) + c dx

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Q: Find the value of b so that (2x – 1)dx = 10 - 1 3 O 2

A: We have to find out b

Q: 00 1 dx 2х + 1)4.

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Q: Verify that the function y = a cosx + b sinx where a,b e R is a solution of the differential…

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Q: find the integral I Jr*-16 Jx

A: We use the trigonometric Identity  (Secx)^2-(tanx)^2=1