Evaluate the integral: 25 tan² 12x dx Choose the most appropriate answer. tan3 3 12x O 25 × 1 12 ln cos 12x + C 3 O tan 12x – 25x + C 12 - 25 tan 12x – 25x + C - 12 25 tan 12x 3 x In cos 12x|+ C 3

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A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

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A: An integral in some cases can be simplified using a substitution. For example ∫ln(x)xdx with the…

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A: Given integral are a)   ∫x38-x4dxb)    ∫(tan(5x)+sec(5x))dxc)∫8sinxCosx dx we can evaluate these…

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Q: Evaluate the indefinite integral. Sa V1 - a? dæ cos° 0 – cos 0 +C 3 - 5/2 (1-22)이2-3 (1- 22)이2 +C. |…

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A: Given the integral ∫e-3xcos2xdxWe need to evaluate the integral.

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Q: Evaluate the integral of sin^5 xdx from x = pi/3 to x=2pi/3 a. 0.345 b. 0.178 c. 0.846…

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Q: Evaluate the integral using the given substitution. Jx cos (5x?) dx, u=5x? O A. sin (5x2) +c 1 O B.…

A: Note:Since you have asked multiple question, as per our guidelines we are supposed to answer only…

Q: Evaluate the integral 0.8 x · In(6 sin r) dæ.

A: Let us assume: u=6sinxdu=6cosxdxcosx·dx=du6 At x=0.2, u=6sin(0.2) At x=0.8, u=6sin(0.8)

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Q: Evaluate the integral using the given substitution. SV cos (2-7) dx Select one: 3/2 sin (x - 7) + C…

A: topic - indefinite integral

Q: Evaluate the integral below. cos(y) dy dx /x/3 Select one: O a. sin 1 O b. O O c. 1 O d. sin 2 – 1 O…

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Q: Evaluate the integral of sin 6 (x) dx from 0 to Tt/2. * 5п/32 2n/17 T/32 3Tt/32

A: Given: The objective is to integrate the function sin6(x)dx from 0 to π2.

Q: 11. The integral of tan(In|4x²|) dx is bln|sec(ln(2x)ª)|. What is b? А. 2 В. 1 D. ! С.4 4

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Q: 3.) a.) Evaluate the following integral. In(1 + 4x²) dx b.) Evaluate the following integral. tan x…

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Q: Use the substitution formula to evaluate the integral. 1 dx 0 19-x2 O A. 3 cos 1 1 O B. sin O C. sin…

A: You just need to substitute x = 3u and then you will get the standard form.

Q: Find the integral of (1 + 2x)e^(-x) dx from x-0 to x--. A. 3 B. 4 C. 2 D. 1 O A B. DI

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Q: Find the indefinite integral. -6w ſe " sin2w dw 3sin2w+cos2w-ów 20 sin2w- 3cos2w +C 20 -sin2w-…

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