Techniques of Integration

Integration by parts, trigonometric integrals and substitutions, partial fractions, improper integrals, and choosing a strategy.0/7 mastered

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The comparison

\dfrac{1}{x^{4} + 1} \le \dfrac{1}{x^{4}}

for

x \ge 1

shows that

\int_1^{\infty}\dfrac{dx}{x^{4} + 1}

converges. What upper bound for its value does this comparison give?

Your answer

#4265