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Calculus 1: U Substitution

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U Substitution Calculus

Use U-Substitution to evaluate the following integral

∫4x(x2+5)50 dx\displaystyle\int 4x(x^2 + 5)^{50} \ dx

U SubstitutionHardVideo
Integration by Substitution

Evaluate the following integral

∫sin⁡(ln⁡(x))x dx\displaystyle\int\frac{\sin (\ln (x))}{x} \ dx

U SubstitutionHardVideo
The Substitution Rule Integration Example

Evaluate the following integral

∫x3sin⁡(x4+2) dx\displaystyle\int x^3 \sin (x^4 + 2) \ dx

U SubstitutionHardVideo
Integration by Substitution Practice Problem

Evaluate the indefinite integral

∫(x4+2)44x3 dx\displaystyle\int (x^4 + 2)^4 4x^3 \ dx

U SubstitutionHardVideo
USubstitution Natural Log Problem

Evaluate ∫(ln⁡x)42x dx\displaystyle\int (\ln{x})^4 \frac{2}{x} \ dx

U SubstitutionHardVideo