Evaluate the improper integral : 4x³e-9æ* dx

Q: Use the table of integrals to evaluate the integral. 2 5x³√4x² - x4 dx

A:

Q: x+4

A: We have to calculate the integral ∫xx+44dx

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A:

Q: Evaluate the integral of [dx/((x^2)sqrt(9-x^2))]

A:

Q: -3 dx /2 х-1

A: The given integral,        ∫23dxx-1

Q: Evaluate the improper integral : 4x³e-9æ* dx

A: we have to evaluate the improper integral

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A: Given,         ∫-2lnx2dx

Q: @ evaluate the indefinite integral fxº ex* dx

A: Given problem:- ∫ x8 ex^9 dx

Q: x3 dx 1-x2

A: Topic- Integration

Q: Evaluate the improper integral or state that it is divergent. 13x dx (x² - 1) O 26 O 13 O Divergent

A:

Q: Sec? ( 7x-8) dx =?

A:

Q: Evaluate the integral

A: To integrate,

Q: Evaluate the integral. Integral from 0 to 3 sqrt(x^2+9)

A: We are going to use the formula: with a=3. Plugging a=3 we get:

Q: Evaluate the integral by using multiple substitutions. 6) ( 6 tan2 x sec2 x dx (3 + tan3 x)²

A:

Q: Evaluate the integral using trig substitution: ∫√(x2+2x) dx

A: The integration to be performed is I=∫x2+2xdx. Substitution method will be used to solve the…

Q: Rewrite the integral using substitution: 3 ₁³ (x² cos(4x³)) dx

A:

Q: Determine whether the integral is improper. +∞0 (x+3)-1/3 dx -∞0 O Improper O Not improper

A: Topic = Integartion Improper

Q: x7 +1 dx = x8 + 8x Vr8

A:

Q: Evaluate the integral: 9e3x dx e3x Ve6x - 25

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Q: Which integral could be evaluated using the substitution u = x ?

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Q: Evaluate the improper integral if it exists 1 dxp:

A: We have to use properties of integration.

Q: Use the properties of integrals to evaluate integral 0 to 1 (4+3x2 ) dx

A: Given: I=∫014+3x2dx for evaluating given integral, first we separate terms then integrate it

Q: Evaluate the integral when x > 0 In(x? + 11x + 24) dx.

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Q: Evaluate the integral in terms of the constants.

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

A: Given data÷

Q: Evaluate the improper integral attached with this question.

A:

Q: .3 2х — 3 -dx 4 x –x

A: First break the given Integral  Then take 4x- x^2 = u and in other one complete the square  Finally…

Q: XV3x2 – 2 dx 1

A:

Q: Find the integral by algebraic substitution: ∫dx/√1+4x

A: In some cases integrals can be simplified to standard integrals by using an appropriate…

Q: Evaluate the Integral using the following values. -206 [³x² dx = 260, [°x dx = 10, [° dx = 2 (22-7x…

A:

Q: Evaleiate the integral by completing the 5Guare. -dx x"+2x²+2

A: Use method of substitution to solve it.

Q: Evaluate the improper integral or state that it is divergent. dx 23) x2 - 25

A: Consider the improper integral  ∫6∞dxx2-25  from the indefinite integrals,         ∫6∞dxx2-25 =…

Q: Use the Table of Integrals to evaluate the integral.  ∫01x4e-x dx

A: Given:∫01 x4 e-x dx∫u dv=uv-u'v1+u"v2-u'''v3+u''''v4-.......

Q: 4 CSC x dx 4.

A: The formula for the substitution method for definite integrals is given by…

Q: -2 dt V4 + t2

A: To evaluate the given integral.

Q: sec (2x + 9) tan (2x + 9) dx

A: Given :∫sec(2x+9)tan(2x+9)dx

Q: Evaluate the integral using trig substitution: ∫x2√(3+2x-x2) dx

A: The integral function is ∫x23+2x-x2dx

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (18x – 17)°…

A:

Q: Evaluate the integral by reversing the order of integration. An (6x²) dxdy COS 0.90634

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Q: Evaluate the integral using trig substitution: ∫√(1+x2 )/x dx

A: The integral function is ∫1+x2xdx.

Q: Evaluate the improper integral or state that it is divergent. 12e-12x dx O Divergent O -1

A:

Q: Evaluate the integral using appropriate substitution ∫(x^2 +1)/(√(x^3 +3x))dx

A: Given an integral: ∫x2+1x3+3xdx Let, x3+3x=t t=x3+3xdt=3x2+3dxdt=3x2+1dxdt3=x2+1dx Substitute value…

Q: 3 (x³-4x)dx

A:

Q: Evaluate the integral using substitution as an aid: x (2x* + 1)2dx

A: Consider the integral

Q: Evaluate the integral. '8 xet dx (1 + x)?

A:

Q: Compute the integral by algebraic substitution: ∫7/2+√x-4 dx

A: We need to compute the integral ∫72+x-4 dx Now, using the property ∫a fx+bgx dx=a∫ fx dx+b∫gx dx…

Q: Use integration by parts to evaluate the integral. | (In(3x))*dæ- 8, +C

A: The given integral is ∫(ln(3x))2dx. Let  3x=u. Differentiate both sides.    3dx=du⇒dx=13du…

Q: Evaluate the improper integral : (* 6xe-3x°, dx

A: We need to evaluate the following improper integral I = ∫-∞∞6x5e-3x6dx…

Q: evaluate the integral from 0 to 3, x^3 dx/ sqrt 9+x^2

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: