2 Evaluate the improper integral e2a dx, if exists.

Q: Estimate the error if e-² is approximated by 1-2² +21 in the integral L²e-2². dx.

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Q: Evaluate the integral | 3 dx. V9x -4

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Q: find integral x3 3) S dx /1-x²

A: We have to find the indefinite integral

Q: S K₁² Evaluate 1 (x − 1)² dx

A: Evaluate ∫1∞1(x−1)2dx

Q: A) Evaluate the following integral (x - 1)(x − 2)(x-3) -

A: Given, ∫1x-1x-2x-3dx

Q: 3. Evaluate the improper integral: dx | Tale + 1)'

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Q: 11. Evaluate the integral. +3 x² + 4

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Q: Evaluate each integral. #1) [(x' +2x)dx 5dv #2) | v(In(v)) #3) [(x*e*)dx

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Q: Evaluate the integral. r1/3 -1 2x = xp J1/7

A: ∫1713-12xdx=∫1713-12.1xdxWe know that ∫1x dx=ln(x)+cSo, ∫1713-12xdx=∫1713-12.1xdx

Q: Evaluate the integral || x* +! dx.

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Suppose f is a continuous function and 4 [ f(x)dx=5 2 the integral [*+*4f(x) +3 dx. 2 Evaluate the…

A: Given that f is a continuous function and ∫24fxdx=5. We have to find the value of ∫244fx+3 dx.