6x² Evaluate the integral: 100 – x2

Q: Determine the integral by making an appropriate substitution. Sa7-21990x6 - 125) dx O 7x6 - 12x5 + C…

A:

Q: Evaluate the integral x 9+x d x.

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Q: 1 xp x7 – x

A:

Q: Evaluate the integral. r0.75 x2 dx 9 – 16x2

A: We apply trigonometric substitution and change the limits and the values as shown below.

Q: Evaluate the integral and check your answer by differentiating. x8+8x5 - 1 x7 S dx = +C

A: To find out the integration.

Q: 1 x5(x4 + 3)

A:

Q: 1 c) 1+4x2 dr.

A: See the details solution in below

Q: Evaluate the integral.

A:

Q: Evaluate the integral by substitution method: S 8x(2x² + 13)5 dæ

A:

Q: Evaluate the integral 34 dr, by making the appropriate substitution: u = 5) da- 34 NOTE: Your answer…

A:

Q: Evaluate the integral. (Use C for the constant of integration.)  5x8/(4x9+2)4

A: To evaluate the indefinite Integral.

Q: Evaluate the integral: ∫ csc2(9 − 2θ) dθ

A: To evaluate: ∫csc29-2θdθ

Q: evaluate the integral.

A: Given: Or, Now,

Q: 2.x dr x² + 1 2.

A:

Q: x+4 Calculate the integral 7x+6x-x2

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Q: Evaluate the integral. + 6)e-x 3.95

A: Given: I=∫01x2+6e-xdx  ...(1) The expression for the integration by parts: ∫udv=u·v-∫vdu Now apply…

Q: 24x2 da Evaluate the integral:

A:

Q: a²x² – 62

A: To evaluate ∫xa2x2-b2dx, use the substitution method and substitute a2x2-b2 with u and obtain…

Q: find the integral:  1/(x2(4-x2)1/2 using trig substitution   that is 1 in the numerator with x…

A:

Q: .3 da 2 x3+2x2 -3x

A: Apply partial fraction after factorization.

Q: Evaluate the integral. -0.8 (x -208) da

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Q: Use the reduction formula ∫xnexdx=xnex−n∫xn−1exdx∫xnexdx=xnex−n∫xn−1exdx to evaluate the integral…

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Q: 64x2 25 -dr Evaluate the integral: (A) Which trig substitution is correct for this integral?

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Q: the area between z=-1.48 and z=1.92 is

A: It is given that the z-scores are –1.48 and 1.92.

Q: Evaluate the integral. -2x x2 NOTE: Enter the exact answer.

A:

Q: Evaluate the integral. HINT: [Use a shortcut.] 7 x2 dx /6 x3 1

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Q: Evaluate the integral or show that it is divergent.

A: Introduction -  Evaluating the integral of the given function - f(x) = ∫0112-3xdx f(x) = -∫0113x-2dx…

Q: Evaluate the integral + 3) (x2 + 3x + 10)*dæ by making the substitution u = x + 3x + 10. + C NOTE:…

A: The given is ∫2x+3x2+3x+104dx by making the substitution u=x2+3x+10.  Solve the integral. Here we…

Q: 3 cl 2nfo So" xdxdy хах

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Q: Evaluate the integral */2 10z csc (r) dr /4

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Q: Evaluate the integral 20 2) dr by making the substitution u 2. NOTE: Your answer should be in terms…

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Q: 64x2 – 25 dz Evaluate the integral:

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Q: Evaluate the integral for x > 1/2: x2 100x2 - 25 = xp

A: We have to find the indefinite integral

Q: Determine whether the integral is improper L' (x-4)-¹dx (A) Not improper (B) Improper

A: We can solve this as follows:

Q: x² XP aX

A: This is solve by substitution method

Q: Evaluate the integral

A: Given: x3+6x2+3x

Q: Evaluate the integral. 0.75 x2 dx 9 - 16x2

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Q: Evaluate the integral |4x – 1| dr. Answer:

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Q: Evaluate the integral: So V1+ 8xdx 3 *Input answer as a decimal. Round-off to 2 decimal places.

A: Given query is to find the value of the integral.

Q: Q4. Evaluate the integral / V1- dr.

A: That's easy. Have a great day

Q: x+2 (х-1(х+3) xP *

A:

Q: Evaluate the integral: V100 – 2°dæ + C

A: The integral for the complex integrand can be solved by simplifying the integrand. The integrand can…

Q: Evaluate the integral|5x-1| dr. Answer:

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Q: 3 x³dx 0 V9+x2

A: Solve the given integration.

Q: Evaluate the integral -9x³ + 36x + 90 dx x² – x – 6

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Q: Evaluate the integral. 0∫1 r3 /√16 + r2 dr

A: We will evaluate the given interval using definite integral properties

Q: Evaluate the integral. [² (7x)√x² + 34√x³ √√√x dx

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Q: (x²–1) 2.

A:

Q: 4x3 + x dx 4. x4 + 2x2 + 10

A: ∫1u du = ln(u)+C ∫1x2+a2 dx = 1a tan-1xa +C.