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13 Nov 2019
6. Indefinite Integrals, with substitution Evaluate the following indefinite integrals. These require substitution. Show the substitution. For example, for f'(x) = 8xcosh(4x2), then f(x)-I8x cosh (4x2) The substitution is u=4x2 . The derivative is du=8xax . Substitute the u and the du into the integral. In this case, replace the 8xdx with du. Do not use an intermediate step with both old and nev variables in the integral. ,f(u)-) cosh u du=sinh u+ C Reverse the substitution: ,f(x)= sinh 4x2+ C 2 -5
6. Indefinite Integrals, with substitution Evaluate the following indefinite integrals. These require substitution. Show the substitution. For example, for f'(x) = 8xcosh(4x2), then f(x)-I8x cosh (4x2) The substitution is u=4x2 . The derivative is du=8xax . Substitute the u and the du into the integral. In this case, replace the 8xdx with du. Do not use an intermediate step with both old and nev variables in the integral. ,f(u)-) cosh u du=sinh u+ C Reverse the substitution: ,f(x)= sinh 4x2+ C 2 -5
Elin HesselLv2
15 Jan 2019