Evaluate the integral. dx (x² – 1)3/2

Q: -Find the value of th integral e-x' dx.

A: Consider I = ∫0∞e-x2 dx                              (1) Let x2 = t On differentiating both sides,…

Q: 10. Evaluate the integral. dx x²/4 – x²

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Q: Give a geometric argument that explains why the integrals have equal values.

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Q: In x dx a/1+(ln æ)? (In x 2

A: We have to evaluate the given integration

Q: .2 x sin x dx -3

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Q: Consider the following. y = x? + 27 y 54 y =x+ 27 23 3 (a) Write the integral that describes the…

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Q: Evaluate  integral.

A: Let the given integral function be  ₀∫⁵(x4y+y)dx  First we have to separate into two integral terms…

Q: Use the indicated substitution to evaluate the integral. 9csc (3x)cot (3x)dx, u= 3x 9csc (3x)cot…

A: Given that: ∫9csc(3x)cot(3x)dx

Q: Determine the indefinite integral J csch 2x dx.

A: To evaluate: ∫csch2xdx Let t=2x dtdx=2dt=2dxdt2=dx Integrating the given integral.…

Q: Find the integral [(3x² – x) In(3x)dx .

A: Given query is to solve the integral.

Q: Use any method to evaluate the integral. 30 dx S (225x² + 1)² 30 dx (225x² + 1)² S 11

A: We have to evaluate the integral.

Q: Find the integral. √(3x² - 6x+5) dx (3x² - 6x + 5) dx =

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