Evaluate the definite integral using the Fundamental Theorem of Calculus.
Q: 1. dx x2 + 6x + 10
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Q: d/dx (x^6 + ln(x) + 21)
A: given ddxx6+ln (x) +21
Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it…
A: The given integral is ∫05125-x2dx. Check the convergence as follows.
Q: x4 dx. х — 1
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Q: 1 dx x2 + 10x + 25
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Q: 1 dx x² + 6x + 9
A: We have to evaluate the integral: ∫1x2+6x+9dx Rewriting the integral,…
Q: evaluate the integral.
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Q: 4 dx x2 ts
A: ∫13x4+1x2dx Formula ∫xndx = xn+1n+1+C
Q: 1 T/ -dx 6 x²+16
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Q: 10. x3 Vx² –- 1 dx
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Q: Use any method to evaluate the integrals
A: Since you have posted multiple question we solve first question for you To get the solution of…
Q: (メ+4) dx x2 + 2x+5
A: Integration is summation of discrete data. The integral is calculated for the functions to find…
Q: 28+メ+x dx 4x+16
A: Step:-1 Given that ∫1∞ 2x5 +x2 +x4x6 +16 dx Take L = ∫1∞ 2x5 +x2 +x4x6 +16 dx L=∫1∞ 2x5 4 x6 +4 dx…
Q: 3 x* +5x dx 1
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Q: x² – 25 dx Jx+5
A: Formula: a2-b2= (a+b)(a-b)
Q: 10. (:x) dx 5
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Q: 2.x dx x² + 2x + 5
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Q: Use a table of integrals to find the indefinite integral.
A: Use a table of integrals to find the indefinite integral.
Q: x+13 dx х+4
A: 1) Evaluate: ∫3x2+14x+13x+4dx
Q: use the Change of Variables Formula to evaluate the definite integral.
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Q: •4 x dx 10 x2 – 9
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Q: calculate the integral.
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Q: Evaluating an Improper Integral :- , Determine whether the improper integral diverges or converges.…
A: Given, ∫-∞∞416+x2dx Determine whether the improper integral diverges or converges.
Q: Evaluate the definite integral.
A: Given: I=∫14dxx16x2-5 for evaluating given integral we substitute 16x2-5=t…
Q: х — 3 dx (x2 – x – 6)vx2 + 4x + 8
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Q: x + 4 dx = x' + 4x
A: Given, ∫x+4x3+4xdx Now we take the partial fraction we get, x+4x3+4x=Ax+Bx2+4…
Q: 4 + x² dx 2
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Q: 4+x² dx 2)
A: Dear StudentAs per our guidelines, we are supposed to answer only one question. Kindly repost the…
Q: dx 7. S x³+4x²+8x 2
A: We use partial fraction method to solve this integral
Q: x* + 10x dx
A: Evaluate the given integral as follows. Let u = x + 5 and du = dx and simplify as follows.
Q: ( 10) dx x'+
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Q: 7x dx J x2 + 14x + 40
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Q: Find the indefinite integral.
A: To evaluate: ∫1x-14x2-8x+3dx Solution: Let substitute u=4x2-8x+3…
Q: x+3 dx x²+6x+7
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Q: x3 dx 10. x2 + 2)
A: As we know that the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫1ax+bdx=1alnax+b+b From the given…
Q: 1 dx x² – 4x + 4
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Q: 4- x²+4 dx ht. 23
A: To evaluate∫x3x2+4dx We can find the integral by substitution method.
Q: 1 dx x2+3x+2
A: To solve∫1x2+3x+2dx
Q: Evaluate the definite integral using (a) the given integration limits and (b) the limits obtained by…
A: Evaluating the integral using (a) The given integration limits: We solve it by using u-v method:…
Q: -dx (x+3)(x²+5)
A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…
Q: Find or evaluate the integral by completing the square.
A: Our Aim is to evaluate the integral given below :-∫1-x2-4xdx -(i)
Q: 10 x2+3 dx 4
A: Explanation of the answer is as follows
Q: 1 dx 8. x 4x² +9
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Q: /1+x2 dx [#13]
A: ∫x1+x2 dx Put, x=tanθ⇒1=sec2θ·dθdx⇒dx=sec2θ dθ Therefore, ∫x1+x2 dx=∫tanθ1+tan2θ sec2θ dθ=∫tanθsec2θ…
Q: The section is 7.8 - Improper Integrals
A: The given improper integral is,
Q: Find the value of x² – 9x + 14 dx =
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Q: -x²+7x+13 dx X' x+4
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Q: 1 dx 1 + e2x 11.
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Q: Find d /dx ln ( x + 1) / sqrt ( x - 2)
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Q: D. L (x3-4x) dx + (-x + 4x) dx
A: " Since you have asked multiple question, we will solve the first question for you. If you want any…