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Q: The German mathematician Karl Weierstrass (1815–1897) noticed that

The German mathematician Karl Weierstrass (1815–1897) noticed that the substitution t = tan(x/2) will convert any rational function of sin x and cos x into an ordinary rational funct...

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Q: Evaluate the integral by completing the square and using Formula 6.

Evaluate the integral by completing the square and using Formula 6.

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Q: Evaluate the integral by completing the square and using Formula 6.

Evaluate the integral by completing the square and using Formula 6.

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Q: Use integration by parts, together with the techniques of this section

Use integration by parts, together with the techniques of this section, to evaluate the integral.

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Q: (a) Show that the function / is a

(a) Show that the function is a solution of the differential equation (b) Show that f(x) = ex.

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Q: Use integration by parts, together with the techniques of this section

Use integration by parts, together with the techniques of this section, to evaluate the integral.

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Q: Make a substitution to express the integrand as a rational function and

Make a substitution to express the integrand as a rational function and then evaluate the integral.

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Q: Make a substitution to express the integrand as a rational function and

Make a substitution to express the integrand as a rational function and then evaluate the integral.

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Q: Make a substitution to express the integrand as a rational function and

Make a substitution to express the integrand as a rational function and then evaluate the integral.

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Q: Make a substitution to express the integrand as a rational function and

Make a substitution to express the integrand as a rational function and then evaluate the integral.

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