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Calculus 1: U Substitution

Use U-Substitution to evaluate the following integral

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

Evaluate the following integral

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

Evaluate the following integral

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

Evaluate the indefinite integral

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

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

earcsin(x)1x2dx\int{\frac{e^{arcsin(x)}}{\sqrt{1-x^2}}}dx