Calculation of definite integral (1) ∫ (1,0) (x ^ 2-1 / x ^ 2 + 1) DX (2) ∫ (1,0) (x ^ 4 / 1 + x ^ 2) DX

Calculation of definite integral (1) ∫ (1,0) (x ^ 2-1 / x ^ 2 + 1) DX (2) ∫ (1,0) (x ^ 4 / 1 + x ^ 2) DX

1. The original formula = ∫ (upper limit 1, lower limit 0) DX - 2 ∫ (upper limit 1, lower limit 0) DX / (x + 1) = (x - 2arctanx) ┃ (upper limit 1, lower limit 0) = (2 - π) / 2 2. The original formula = ∫ (upper limit 1, lower limit 0) xdx - ∫ (upper limit 1, lower limit 0) DX + ∫ (upper limit 1, lower limit 0) DX / (x + 1) = (x / 3 - x + arctanx) ┃ (upper limit 1, lower limit 0) = (3 π - 8) / 12

Elden Ring Premiere

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