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MATHalino | Engineering Mathematics.
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Integration Formulas 1. Common Integrals Indefinite Integral Method of substitution ∫ f ( g ( x )) g ′( x ) dx =∫f ( u )du Integration by parts ∫ f ( x) g ′( x) dx = f ( x) g ( x) −∫g ( x) f ′( x) dx Integrals of Rational and Irrational Functions ∫ xn 1 x dx = +C +1 ∫1 dx = lnx +C ∫c dx = cx +C 2 ∫xdx = +C 2 3 ∫ 2x dx = +C 3.
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Interpolation formulae. Divided differences- Newton's divided difference formula. Lagrange's interpolation formula and inverse interpolation formula (all formulae without proof)-Problems. Numerical integration: Simpson's (1/3) th and (3/8) th rules, Weddle's rule (without proof ) - Problems. 10 Hours Module -5.
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