Using a rectangular contour to evaluate the integrals. +oo sinhax (b) fễ sinh tax° x² -dx ·+00 (c) f cosh ax dx

Q: J X √9 - x² dx

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Q: integral x2 / sqrt(16-x2) dx using trig substitution

A: We have to solve the integral x^2/sqrt (16-x^2) dx by trigonometric substitution . Please see the…

Q: Use contour integration to evaluate 6.00 sin x x(x² + 1)² -dx.

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Q: Find or evaluate the integral. /sec² sec² (4x) dx

A: Let,the given integral is

Q: dx 17. S√4e-2x-25

A: Given integral: ∫dx4e-2x-25.We need to evaluate the integral.

Q: ( sin³x sin32x dx

A: Our Aim is to integrate the integral given below:-I=∫sin3 (x) sin3 (2x) dx

Q: Poin ts Simpson's Rule Rule Denive Apply to Simpson's Paints approximate 4tan () da. A lse Jiod the…

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Q: Evaluate sin (3x) dx using integration by parts / Tabular Method.

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Q: Using change of variable method (substitution method for definite integrals), evaluate sin 2x = dx…

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Q: Calculate the definite integral of:

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Q: Vx²-25 dx (Integration using Trigonometric Substitution)

A: Trigonometric substitution

Q: 10. J(3x3 — 5х + sin3x) dx -

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Q: 10. ſ sinx tan(cosx) dx

A: In this question, we need to integrate using the substitution method.

Q: 9.f tan3³ x √sec x dx

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Q: /2 cos x -dx- 1+(sin x)? Compute the integral

A: Consider the following definite integral: ∫0π2cosx1+sinx2dx Substitute sinx=u→cosxdx=du in the above…

Q: Approximate sinx dx using four trapezoids of equal width. On the interval (0, pi)

A: Trapezoidal rule

Q: Find the indefinite integral. (Use C for the constant of integration.) Original Integral Rewrite…

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Q: 3.) Evaluate the definite integral. Show your work. You may check your answer by using a calculator.…

A: Given expression ∫131+2x+3x2x2dx=? we know ∫xndx=xn+1n+1                  ∫1xdx=ln|x|