$\displaystyle\int{4{{x}^{3}}}{{({{x}^{4}}+7)}^{4}}\mathrm{ d}x$ $\displaystyle\int{\frac{x+2}{{{x}^

Question

$\displaystyle\int{4{{x}^{3}}}{{({{x}^{4}}+7)}^{4}}\mathrm{ d}x$ $\displaystyle\int{\frac{x+2}{{{x}^{2}}+4x+6}}\mathrm{ d}x$ $\displaystyle\int{x{{e}^{{{x}^{2}}+1}}}\mathrm{ d}x$

Accepted Answer

(i) (1/5)(x⁴+7)⁵ + C, (ii) (1/2)ln|x²+4x+6| + C, (iii) (1/2)e^(x²+1) + C

Method of Substitution Examples (Cancelling Method)

Method of Substitution Examples (Cancelling Method)

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