Using Basic Integration Rules :- , use the basic integration rules to find or evaluate the integral ?
see the equation as attached here :-
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A: Given integral is: A=∫x3(x2+a2)3dx (1) Use substitution method to solve this…
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A: According to our guidelines, In case of multiple questions we are supposed to answer the first…
Q: 4 CSC x dx 4.
A: The formula for the substitution method for definite integrals is given by…
Q: 2x dx 4+x2
A: Given:
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: Vx - 3 dx x=3
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Q: 1 (a) dx + 25x2 4 -
A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…
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: ч.) -17x° - 4 x + 3) ·dx
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Q: +ェ-4 dx x2 +2
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Q: (x² +2x-2)dx 3
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Q: (3x) dx 2 x2
A: Note: Since you have posted two questions. As per your comment we are solving the question first.…
Q: .2 x² + 6x dx (х2 + 3)?
A: Recall: ∫1x2+a2dx =1atan-1xa+C ∫ax+bndx =1a.ax+bn+1n+1+C
Q: Зх-2 dx%3D V2x+3
A: We need to evaluate the following integral I = ∫3x-22x+3dx ........1
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A: Since you have asked multiple questions, I will solve the first question for you. If you want…
Q: 2.) xe" dx 8.
A: Given query is to find integral converges or diverges.
Q: 1 dx x2 -4
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Q: -7 dx (x – 2)(x2 + 4)
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Q: x2 -x + 14 dx (x +2)(x² + 4)
A: We have to find solution
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: 2x* - X* dx 「奈 3. スx* + 1
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Q: 10a3 5.) dx 1 – x8 -
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Q: 3x dx Vx² - 12.x+5
A: To find the integration (3x/√(x²-12x+5))dx
Q: 3x dx Vx² - 12.x+5
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Q: 5 dx is: V4-x2
A: Given: Let I=∫54-x2 dx To Find: To evaluate the given integral.
Q: Evaluate:
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Q: -2 (x – 1)(7x + 7) dx = 2.
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Q: x4 dx. х — 1
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Q: 1 dx (x²)vx2-9
A: We have to find the integration
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A: To solve∫1x2+3x+2dx
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Q: 23 dx V25 – x2
A: We integrate the function using trigonometry substitution.
Q: V 4 + x2 dx
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Q: 10 x2+3 dx 4
A: Explanation of the answer is as follows
Q: 1 dx 9 - x2
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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: -2 х 6. dx 1-x
A: Topic = Integration use ∫1xdx=lnx+Clnx⇒x is NOT defined for negative values of the independent…
Q: 4. x2 - 3x 4 dx |
A: 4). To evaluate the integral: ∫xx2-3x-4dx Solution: Integrand can be simplified as:…
Q: 10. x3 Vx² –- 1 dx
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Q: ,2 3 csc- x dx 1. /1–4cot2.
A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…
Q: Integration Evaluate the following integrals.
A: Given integral, ∫9x2+x+213x2+72dxwe have to evaluate the given integral
Q: Use the definition of a definite integral to evaluate the function. You may use either left or right…
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Q: Find the indefinite integral and check the result by differentiation
A: Given: Let I=∫5x 1-x23 dx To Find: To evaluate the given integration and to check the result by…
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Q: 1 dx %3D x-3V2x-4+2
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Q: хе xe-X dx 4.
A: Consider the integral. I=∫04xe-xdx
Q: Væ2 – 1 -dx 30. x2
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Q: 4 dx x2 + 4
A: Given function to integrate ∫x4x2+4dx Apply long division, ∫x4x2+4dx=∫16x2+4+x2-4dx Apply linearity…