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13 Nov 2019
Indefinite Integrals, with substitution 6. Evaluate the following indefinite integrals. These require substitution. Show the substitution. For example, for f(x)=f8x cosh (4x2)dx f'( The substitution is u=4x2 . The derivative is a 8xdr . 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 new variables in the integral. x)=8xcosh(4x2), then f(u)-I cosh u du=sinh u+ C Reverse the substitution: ,f(x)=sinh 4x4 C 0.5 | | sin-111-cos-ldt u=1-cos- 2
Indefinite Integrals, with substitution 6. Evaluate the following indefinite integrals. These require substitution. Show the substitution. For example, for f(x)=f8x cosh (4x2)dx f'( The substitution is u=4x2 . The derivative is a 8xdr . 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 new variables in the integral. x)=8xcosh(4x2), then f(u)-I cosh u du=sinh u+ C Reverse the substitution: ,f(x)=sinh 4x4 C 0.5 | | sin-111-cos-ldt u=1-cos- 2
Casey DurganLv2
6 Mar 2019