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### Questions (75)

 22 Where do Mathematicians Get Inspiration for Pi Formulas? 13 Proving Ramanujan's Integral Formula 10 Arctangent integral that I'm having difficulty on 9 Using Ramanujan’s Method for denesting $\sqrt[3]{7\sqrt[3]{20}-19}$ 9 Using Ramanujan's Method to Prove Larger Hypergeometric Functions

### Reputation (2,315)

 +10 $\int_0^\infty \frac{1}{1+x^ 9} \, dx$ +5 Rapidly Converging Series for Particular Values of the Gamma Function +5 Using Ramanujan’s Method for denesting $\sqrt[3]{7\sqrt[3]{20}-19}$ +5 Proving $\frac 1{R(q)}-1-R(q)$ (Ramanujan's formula)

 9 How do you Evaluate $\int_{-\infty}^\infty \frac{\cos(x)}{x^2+1}dx$ Without Using Residue Calculus 7 Inverse of $y= x^{3} +x+1$ 7 How to find the limit of $\frac{\sqrt{x^2+9}-3}{x^2}$? as x approaches 0 6 Find the rational number of a, b, c, solving $\sqrt[3]{\sqrt[3]{2}-1}=\sqrt[3]{a}+ \sqrt[3]{b}+\sqrt[3]{c}$ 6 Solve $x^4 -7x^3 + 4x^2 +39x -45=0$

### Tags (73)

 39 calculus × 20 13 cubic-equations × 7 35 integration × 44 12 radicals × 8 17 definite-integrals × 17 11 polynomials × 10 17 algebra-precalculus × 15 10 improper-integrals × 9 15 nested-radicals × 7 10 functions × 3

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