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A Table Of Integrals Of The Error Functions

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Table Of Integrals Rational Functions

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Table Of Definite Integrals

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integrals. Contents 1 Indefinite integral 1.1 Integrals involving only exponential functions 1.2 Integrals involving polynomials 1.3 Integrals involving exponential and trigonometric functions 1.4 Integrals involving the error function 1.5 Other integrals 2 Definite integrals 3 See also 4 Further reading 5 External links Indefinite integral[edit] Indefinite integrals are antiderivative functions. table of integrals calculator A constant (the constant of integration) may be added to the right hand side of any of

Table Of Indefinite Integrals

these formulas, but has been suppressed here in the interest of brevity. Integrals involving only exponential functions[edit] ∫ f ′ ( x ) e f trig integral tables ( x ) d x = e f ( x ) {\displaystyle \int f'(x)e^ ⁡ 4\;\mathrm ⁡ 3 x=e^ ⁡ 2} ∫ e c x d x = 1 c e c x {\displaystyle \int e^ θ 8\;\mathrm θ 7 x={\frac θ 6 https://archive.org/details/jresv73Bn1p1 θ 5}e^ θ 4} ∫ a c x d x = 1 c ⋅ ln ⁡ a a c x f o r a > 0 ,   a ≠ 1 {\displaystyle \int a^ θ 8\;\mathrm θ 7 x={\frac θ 6 θ 5}a^ θ 4\;\mathrm θ 3 \;a>0,\ a\neq 1} Integrals involving polynomials[edit] ∫ x e c x d x = e c x ( c x − 1 c 2 ) {\displaystyle \int xe^ π 6\;\mathrm π 5 x=e^ π 4\left({\frac π 3 π 2}}\right)} https://en.wikipedia.org/wiki/List_of_integrals_of_exponential_functions ∫ x 2 e c x d x = e c x ( x 2 c − 2 x c 2 + 2 c 3 ) {\displaystyle \int x^ ∫ 6e^ ∫ 5\;\mathrm ∫ 4 x=e^ ∫ 3\left({\frac ∫ 2} ∫ 1}-{\frac ∫ 0 π 9}}+{\frac π 8 π 7}}\right)} ∫ x n e c x d x = 1 c x n e c x − n c ∫ x n − 1 e c x d x = ( ∂ ∂ c ) n e c x c = e c x ∑ i = 0 n ( − 1 ) i n ! ( n − i ) ! c i + 1 x n − i = e c x ∑ i = 0 n ( − 1 ) n − i n ! i ! c n − i + 1 x i {\displaystyle \int x^ ⁡ 6e^ ⁡ 5\;\mathrm ⁡ 4 x={\frac ⁡ 3 ⁡ 2}x^ ⁡ 1e^ ⁡ 0-{\frac θ 9 θ 8}\int x^ θ 7e^ θ 6\mathrm θ 5 x=\left({\frac {\partial }{\partial c}}\right)^ θ 4{\frac θ 3} θ 2}=e^ θ 1\sum _ θ 0^ ⁡ 9(-1)^ ⁡ 8\,{\frac ⁡ 7{(n-i)!\,c^ ⁡ 6}}\,x^ ⁡ 5=e^ ⁡ 4\sum _ ⁡ 3^ ⁡ 2(-1)^ ⁡ 1\,{\frac ⁡ 0 θ 9}}\,x^ θ 8} ∫ e c x x d x = ln ⁡ | x | + ∑ n = 1 ∞ ( c x ) n n ⋅ n ! {\displaystyle \int {\frac Saved in parser cache with key enwiki:pcache:idhash:234960-

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