(1) Evaluate the following integrals using SAGE: (a) Jeda, where y=- (b) For e J 76...

 

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(1) Evaluate the following integrals using SAGE: (a) Jeda, where y=- (b) For e J 76 is the standard normal distribution. Use RDF to get numerical value. 28 +27 +2 524+8x9x +82-3 dr. (i) Find the indefinite integral. (ii) Perform long division. You may define the function division (f.g) which returns the quotient and remainder: def division (dividend, divisor): return dividend._maxima_().divide(divisor).sage() (iii) Factor the denominator. SAGE: factor(f) (iv) Find the partial fraction decomposition. SAGE: (f/g)-partial_fraction() (define f and g first) (1) Evaluate the following integrals using SAGE: (a) Jeda, where y=- (b) For e J 76 is the standard normal distribution. Use RDF to get numerical value. 28 +27 +2 524+8x9x +82-3 dr. (i) Find the indefinite integral. (ii) Perform long division. You may define the function division (f.g) which returns the quotient and remainder: def division (dividend, divisor): return dividend._maxima_().divide(divisor).sage() (iii) Factor the denominator. SAGE: factor(f) (iv) Find the partial fraction decomposition. SAGE: (f/g)-partial_fraction() (define f and g first)