Calculus 1: U Substitution
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All Calculus 1LimitsDefinition of the DerivativeProduct and Quotient RulePower Rule and Basic DerivativesDerivatives of Trig FunctionsExponential and Logarithmic FunctionsChain RuleInverse and Hyperbolic Trig DerivativesImplicit DifferentiationRelated Rates ProblemsLogarithmic DifferentiationGraphing and Critical PointsOptimization ProblemsIndeterminate Forms and l'Hospital's RuleLinear Approximation and DifferentialsNewton Raphson MethodIndefinite IntegralsU SubstitutionDefinite Integrals and Fundamental TheoremApplications of Integration
Use U-Substitution to evaluate the following integral
##\displaystyle\int 4x(x^2 + 5)^{50} \ dx##
##\displaystyle\int 4x(x^2 + 5)^{50} \ dx##
Evaluate the following integral
##\displaystyle\int\cos^4(x)\sin(x) \ dx##
##\displaystyle\int\cos^4(x)\sin(x) \ dx##
Evaluate the following integral
##\displaystyle\int (x + 1) \sqrt{2x + x^2} \ dx##
##\displaystyle\int (x + 1) \sqrt{2x + x^2} \ dx##
Evaluate the following integral
##\displaystyle\int\frac{\sin (\ln (x))}{x} \ dx##
##\displaystyle\int\frac{\sin (\ln (x))}{x} \ dx##
Evaluate the following integral
##\displaystyle\int x^3 \sin (x^4 + 2) \ dx##
##\displaystyle\int x^3 \sin (x^4 + 2) \ dx##
Find ##\displaystyle\int\sin(x)\sin(\cos{x}) \ dx##
Evaluate ##\displaystyle\int x^5 \sqrt{1 + x^2} \ dx##
Evaluate the indefinite integral
##\displaystyle\int (x^4 + 2)^4 4x^3 \ dx##
##\displaystyle\int (x^4 + 2)^4 4x^3 \ dx##
Find ##\displaystyle\int\frac{2x}{1 + 2x^2} \ dx##
Evaluate ##\displaystyle\int (\ln{x})^4 \frac{2}{x} \ dx##
Evaluate ##\displaystyle\int\frac{e^{ \ p \ \tan^{-1}(x)}}{1 + x^2} \ dx##