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252 MATHEMATICS 1 1 1 10. 2 11. 2 12. 2 x +2x + 2 9x +6x+... |
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INTEGRALS 253 P(x) P(x) P1(x) functionsbylongdivisionproc... |
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254 MATHEMATICS dx Example 11 Find ∫(x+1) (x +2) Solution... |
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INTEGRALS 255 2 x +1 1+ 5x –5 = 1 5x –5 x –5x +6 = x –5x ... |
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256 MATHEMATICS x 2 Example 14 Find ∫ 2 2 dx (x +1) (x + ... |
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138 PoliticsinIndiasinceIndependence e sure Iw i h t b e ... |
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260 MATHEMATICS Therefore, expression (1) can be rewritte... |
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INTEGRALS 261 as sin x + k, where k is any constant, then... |
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262 MATHEMATICS x dx 1 dt 2 Therefore, ∫ = – ∫ = – t = − ... |
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INTEGRALS 263 x Thus, ∫e [ f (x)+ f′(x)]dx = e f (x)+ C x... |
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264 MATHEMATICS x ex x 1+sin x 16. e (sin x + cosx) 17... |
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INTEGRALS 267 7.7 Definite Integral In the previous secti... |
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