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Complete the following activity: ∫02dx4+x-x2 = ∫02dx-x2+□+□ = ∫02dx-x2+x+14-□+4 = ∫02dx(x-12)2-(□)2 = 117log(20+41720-417) - Mathematics and Statistics

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Question

Complete the following activity:

`int_0^2 dx/(4 + x - x^2) `

= `int_0^2 dx/(-x^2 + square + square)`

= `int_0^2 dx/(-x^2 + x + 1/4 - square + 4)`

= `int_0^2 dx/ ((x- 1/2)^2 - (square)^2)`

= `1/sqrt17 log((20 + 4sqrt17)/(20 - 4sqrt17))`

Fill in the Blanks
Sum
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Solution

`int_0^2 dx/(4 + x - x^2) `

= `int_0^2 dx/(-x^2 +bb (x + 4)`

= `int_0^2 dx/(-x^2 + x + 1/4 - bb(1/4) + 4)`

= `int_0^2 dx/ ((x- 1/2)^2 - (bbsqrt17/2)^2)`

= `1/sqrt17 log((20 + 4sqrt17)/(20 - 4sqrt17))`

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2023-2024 (March) Official

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