If appropriate, evaluate the following integrals by substitution. If substitution is not appropriate, say so, and do not evaluate.

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(a) x sin(x²) dx x² 1+x2 dx (c) /₁ (e) [x²³x² dx (b) / x² [x² sin x dx [ [a (d) (f) S x (1+x²)² sin x 2 + cos x dx ² dx