# Shirohige

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# 21 Questions

 6 How to integrate $\int \frac{1}{\sin^4x + \cos^4 x} \,dx$? 5 How to solve $\int \frac{\,dx}{(x^3 + x + 1)^3}$? 5 How to show that $e^x$ is differentiable? 5 Calculate $\int_0^1 e^x dx$ as a limit of a sum? 4 How to integrate $\int \frac{\cos x}{\sqrt{\sin2x}} \,dx$?

# 433 Reputation

 +10 The existence of conjunctive/disjunctive normal forms? +2 The probability that the distance between two random points in a $3\times 3$ square is less than $\sqrt{3}$ +5 How to solve $\int \frac{x^4 + 1 }{x^6 + 1}$? +5 How to integrate $\int \frac{1}{\sin^4x + \cos^4 x} \,dx$?

 2 $(sinα + cosβ)^2 + (cosα - sinβ)^2 - 2sin(α+β) = 2$

# 18 Tags

 2 trigonometry × 2 0 euclidean-geometry × 3 0 real-analysis × 10 0 analysis × 3 0 integration × 7 0 geometry × 3 0 indefinite-integrals × 5 0 analytic-geometry × 2 0 linear-algebra × 4 0 calculus × 2

# 5 Accounts

 Mathematics 433 rep 111 Stack Overflow 127 rep 7 Physics 108 rep 5 Super User 101 rep Ebooks 101 rep