Why does Hm have minus x in front of it. How did they do integral?

Q: owing integral equal?

A:

Q: Evaluate the indefinite integral. 8x2 – 21x – 86 - - dx +C. %3D J (x – 4)(x² – x – 12) | -

A: first we make partial fraction of given Integral

Q: 2 3x dx xp, Evaluate the indefinite integral.

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Q: Vx² – 1 -dx

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Q: Evaluate integral of dx/x-2 from -6to-10

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Q: I.Evaluate the ff. iterated integrals.

A: Given that: ∫36dyy3y2-9

Q: @ evaluate the indefinite integral fxº ex* dx

A: Given problem:- ∫ x8 ex^9 dx

Q: 16-y2 16 – 22-y drdy by using appropriate coordinate system. an

A:

Q: Evaluate the indefinite integral: ∫ sec2(4x + 9) dx

A: Given: ∫sec2(4x+9) dx

Q: Calculate the indefinite integral 13 – 7t² – t + 43 dx. - - t2 – 4t – 12

A: Given:

Q: he indefinite integral.

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Q: Evaluate the indefinite integral. dx xV 25 – x2 -

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Q: Determine ∫2x(x^2 + 5)dx by making a substitution. Then, determine the integral by multiplying out…

A: Evaluate: ∫2xx2+5dx

Q: Evaluate the indefinite integral. V 16 +x² dx %3D to

A: We need to integrate ∫16+x2x4dx

Q: Calculate the integral of y = 11 cos (8x) from 0 to Answer = Number Leave your answer in exact form…

A: on solving this we get the

Q: What change of variables is suggested by an integral containing V100 – x??

A: 100-x2

Q: Use the properties of integrals to verify that 2 < (', VT+x² dx = 2/7 without evaluating the…

A: Please examine the graph of (1 + x2)1/2 below:

Q: 56. 1 dx V1+9x2

A: Given, ∫dx1+9x2

Q: Evaluate the indefinite integral. Ja*V5 + z°dz

A:

Q: Evaluate integral of dx/x+2 from -6to-10

A: Given , To Evaluate the integral of dx / x+2 from -6 to -10

Q: Find the indefinite integral

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Q: calculate the integral in terms of the inverse hyperbolic functions.

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Q: Use any method to evaluate the integral. 8 dx (16x? + 1)?

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Q: の x 4

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Q: integral

A: We have to choose the correct option from the given options according to the given information

Q: 7. (x² - 2x + 3)dx 5²

A: SOLUTION-

Q: XV3x2 – 2 dx 1

A:

Q: Determine the indefinite integral below. 3x 7 e + Vx' dx -7e 3x dx = +.

A:

Q: Explain the application of triple integral in detail ?

A: Triple integral is used to find volume. For volume there should be three dimensions that's why by…

Q: Evaluate x dx from the definition of RS-integral.

A:

Q: Evaluate the definite integral. Round your final answer to three decimals. 53 298, 512 dt 38 t3 Vt2…

A: We will evaluate the given integral as shown below

Q: What is the integral of (4-x^2)/(x(x^2-4)) dx?

A:

Q: Using only the definition of RS-integral, evaluate 0.

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Q: integral

A: Useful formula: ∫xndx = xn+1/(n+1) + c

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: evaluate the integral 17/((x-1)(x^2+16)) dx?

A: Evaluate the integral .we use partial fraction method to solve this integration. Here i attached…

Q: -2 dt V4 + t2

A: To evaluate the given integral.

Q: 36x2 + 25 dx x2

A:

Q: di)

A: We have to give reasons

Q: Se dt

A:

Q: Evaluate the integral: ³√1 + 100x² da

A: Need to find out the integration.

Q: Evaluate the double integral. dA, D.

A:

Q: 2-V1-x dx by interpreting the integral in terms of area. -

A: ∫-112-1-x2 dx On simplification, we get ∫-112-1-x2 dx=∫-112 dx-∫-111-x2 dx   →1 Now consider, ∫-112…

Q: x6 dx V x14 - 3

A: ∫x6  dxx14-3 On simplification, we get ∫x6  dxx14-3=∫x6  dxx72-32 Now put, x7=t⇒7x6=dtdx⇒x6  dx=dt7…

Q: Use the substitution u= 7x +4x to evaluate the indefinite integral below.

A: We have to change the variable from x to u by the substitution u = 7x2 +4x.

Q: Ilxě dx

A:

Q: Evaluate the integral, if it exists. If it does not exist then explain why. ' 10 x² – 4 -dx 2

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Q: х — 3 (x+ 2) (x – 1)²

A: The given integral is; (x-3)/[(x+2)(x-1)2].