Solve the following integral: ∫x3(2 - x2)12    dx

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A: Given: ∫cos4xdx   Formula used: cos2x=2cos2x-1   cos2x=1+cos2x2

Q: Solve the following improper integral

A: To Solve the following improper integral

Q: raluate the following indefinite integral. Ssin x sin2.x dx

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Q: tan' 7x dx

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Q: calculate the integral.

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Q: S (x² – 12x + 100)(6 – x)dx -

A: We can solve as follows

Q: 00 dx 3.

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Q: dx VI + V

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Q: "/2 cos* x dx /4 sinb x

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Q: Solve each of the following integrals using integration by part: a) 3x² In 2x dx b) [5xsin 3x dx

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Q: Evaluate the integral. 1. (x10 + 10*)dx

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Q: Find the indefinite integral. + 10x – 6) dx = +C.

A: We have to evaluate the  given indefinite integral.

Q: 3x2 dx is equivalent to +1 Using substitution, the definite integral

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Q: | Vx+ + x6 dx

A: Given: The integral expression as ∫x4+x6dx, To evaluate: The value of given integral.

Q: 24 dx

A:

Q: = Solve the following integrals:- dx (2) dx

A: First do some Algebraic calculations then integrate

Q: Find the indefinite integral by using the appropriate formula   ∫ e−3x sin 4x dx

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Q: Evaluate the integral. '1 (x14 Jo + 14*)dx

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Q: Solve the following integral. xp- 2x* dx Jo Tx5(3-x)

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

Q: In the following equation/s, find the indefinite integral :- see the equation as attached here

A: solution:- Finding indefinite integral:-  an antiderivative of a function f is a function F whose…

Q: Solve the following Definite Integral 10.) ,(x² +3)dx

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Q: +oo So xe-dx = 1

A: Evaluate: ∫0∞xe-xdx Apply infinte integral property: ∫a∞fx dx=limx→∞∫axfx dx ∫a∞xe-xdx…

Q: Evaluate the integral. '1 x9/10 dx

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Q: 3. (2x+6)*dx

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Q: Evaluate the integrals

A: Given:∫0π6 1+sinx dx

Q: Evaluate the integral (exact value). e3x sin(6x) dx = -1652.086

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Q: VIt VI dx тр. a.

A: According to our policy at Bartleby, I can solve only one question. Given an integral : I=∫1+xx dx…

Q: Find the formula in the integral table that can be applied to find the integral:

A: Given: The integral ∫25+16x2x2dx, To find: The appropriate formula from the integral table that can…

Q: Solve the integral: 3√x x² dx

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Q: Calculate the integral and express your answer in simplest form. 10 dx 4+9x2

A: We need to evaluate the following integral  I = ∫104+9x2dx Formula used : ∫1a2+x2dx = 1atan-1xa+C

Q: 69. x³e2* dx.

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Q: InX dx x7 8.

A: on solving integration by part method we get

Q: Solve the following integral xe* dx 1

A: Calculate the integral         ∫12xex3 dx

Q: Evaluate the integral. 3x Va? - x² dx

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Q: 00 e-st cosh t dt

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Q: Sx²e=* dx Sx²e¬

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Q: dx 1+ x6

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Q: 4) S 24x5 dx 4x6+3

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Q: √tanx secox dx

A: Given problem:- ∫√(tanx) sec6x dx

Q: 4. 1) ŝ dy

A: The given integral is, ∫y7y4-113dy The objective is to solve the integral by substitution method.

Q: -2

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Q: Find the answer to the following indefinite integral:

A: Given indefinite integral ∫1cos(x)dx    ⇒∫1cos(x)dxSimplify using trigonometric…

Q: Solve the integral: 1 √√√√√x+x dx

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Q: Evaluate the integral sin(x²)dxdy.

A: This is a question from the double integral.

Q: Evaluate the following integral or state that it diverges. 00 4 2 sec dx

A: Given

Q: 4) Find each integral by using inverse trigonometric functions. dx a) To-4x dx x+4

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Q: evaluate the integral.

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Q: Evaluate the integral.  integral sin 9  x  dx

A: Given ∫sin9xdx

Q: to

A: