Find an integral expression equal to: lim +2 k=1

Q: Find the integral of: Зx2 — 4 - x2

A: From the given problem:   I=∫3x2-4x2dx ....(1) Now simplifying: 3x2-4x2=3-4x2 Now substitute this…

Q: Calculate the integral. (Use symbolic notation and fractions where needed.) e6x dx %3D In 2 1 + el2x

A: You can solve this problem by the method of substitution.

Q: Find the indefinite integral f V9+x² x3 dx using an appropriate trigonometric substitution.

A: To find :  I=∫x39+x2dx

Q: Find the integral: x8 9-x dx =

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Q: Evaluate the definite integral.

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Q: Evaluate the indefinite integral ∫ (sqr(x))/(sqr(a-x))

A: Evaluate the indefinite integral ∫ (sqr(x))/(sqr(a-x))

Q: Evaluate the definite integral. x11cos (x12) dx

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Q: Evaluate the integral. integral sign with a 4 at the top and a 1 at the bottom. 8square root of z…

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Q: 3, 1

A: ∫0∞x3(x2+1)(x+1)2dx put   x3 = u=> dx = 3 x23du => ∫0∞x3(x2+1)(x+1)2dx = ∫0∞3u3(u3 + 1)3(u6 +…

Q: Evaluate the indefinite integral. 26 x14 xp= 3 arctan(1) – 3 arctan(0) 2 X + C

A:

Q: (Ca' - x*

A: we know that,           integration of xn dx = xn+1n+1.  and x-y2= x2+y2-2xy

Q: as a definite integral. Express lim 81x i=1 2 - n In(1+ 2i n

A: What is Definite Integral: Definite integral is the sum of areas of all possible rectangles over an…

Q: Evaluate the integral. 2t + di

A: We have to find the integral

Q: Find an integral expression equal to: 3 2 +3 lim k=1

A: The given sum is, S=limn→∞∑k=1n2nk3+32nS=limn→∞∑k=1n0+2-0nk3+32-0n⋯⋯1   According to the definition…

Q: Evaluate the definite integral. 4 xe(-1/2)x2 01 xp

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Q: Express the quantity 3 k n lim n→00 n n k=1 as a definite integral.

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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: Find the integral ∫tan5xdx.

A: Here given Now,

Q: Evaluate the integral. ∫ tan2 xdx

A: Using pythagorean identity tan2x=sec2x-1

Q: Find the integral of  (-cos^-1 x)/(sqrt 1-x^2)  d

A: Consider the provided expression, ∫-cos-1x1-x2dx Find the value of the provided integral. Apply u-…

Q: Evaluate the definite integral. 1/3 xp 1- 9x2

A: Use formula of integration

Q: Use substitution to find the indefinite integral.

A: Use substitution to find the indefinite integral.                ∫e1zz2 dz

Q: Calculate the integral. (Use symbolic notation and fractions where needed.) e6x dx -In 2 1 + el2x

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Q: lim , E C [2,4| 1/2

A: The solution are next step

Q: Evaluate the integral. ∫ tan4 x Sec6 x dx

A: To evaluate the integral: ∫tan4xsec6xdx Let substitute t=tanx dtdx=sec2xdt=sec2xdx Substituting the…

Q: Find the integral m tan -x X 1+x?

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Q: Evaluate the indefinite integral by using the substitution u = 5-x° to reduce the integral to…

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Q: Evaluate the following using geometric application of definite integral:

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Q: x² XP aX

A: This is solve by substitution method

Q: Use substitution to find the indefinite integral. (9+7 In x)

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Q: Find an integral expression equal to: 2 k + 3) +1 lim k=1

A: We know  limn→∞1n∑r=r1r=r2frn=∫abfxdxwhere a=limn→∞r1n and b=limn→∞r2n We have given…

Q: Find the indefinite integral. x² + 8x + 3 xp x3+ 12x2 + 9x + 4

A: The given indefinite integral

Q: (7 - t)/

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Q: хра (q

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Q: 3) Use long division to evaluate the indefinite integral f „s dx.

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Q: Evaluate the definite integral : (3교2+1)호

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Q: 3.

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Q: Evaluate the integral.

A: Consider the given integral as ∫-33x1+xdx

Q: Find an integral expression equal to: 2 2 lim k+ k=1

A: Here limn→∞ ∑k=1n((2nk+2)2+1)2n is a rieman sum ,so we have formula limn→∞ ∑k=1nf(a+k∆x)∆x=∫abf(x)dx…

Q: 1+x

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Q: 12. -2 x3dx 12.6 J16-x2

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Q: In(x² + 5) In(x + 1) Find lim

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Q: Find an integral expression equal to: lim +1 k=1

A: The given expression is, I=limn→∞∑k=1n2nk+33+12n In general, the Reimann sum can be written as,…

Q: Find the integral m tan -x X .2 1+x?

A: To find the given Integral.

Q: Evaluate the integral 12 cosh 2r dr.

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Q: Find the integral. 6 +x xp.

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Q: Find the integral ∫e−xsinxdx.

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Q: Evaluate the definite integral. Use "u" substitution when appropriate only! 5. (3x - x2

A: Integral Question

Q: Evaluate the definite integral: (x – 9|x|) dæ : -5

A: we have to integrate

Q: Evalaute the definite integral.

A: Given