Calculus 1: Indefinite Integrals
Expand
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
Evaluate the following indefinite integral
##\displaystyle\int{3x^6} dx##
##\displaystyle\int{3x^6} dx##
Evaluate the indefinite integral
##\displaystyle\int 7\sqrt{x}\ dx##
##\displaystyle\int 7\sqrt{x}\ dx##
Find the following indefinite integral
##\displaystyle\int 3x^6 + 5 + 7\sqrt{x}\ dx##
##\displaystyle\int 3x^6 + 5 + 7\sqrt{x}\ dx##
Find the antiderivative of ##x^3##
Evaluate the following integral
##\displaystyle\int (3x + 5x^2) \ dx##
##\displaystyle\int (3x + 5x^2) \ dx##
Let ##f^\prime(x) = 2x## what is the antiderivative, ##f(x)## ?
Evaluate the indefinite integral below
##\displaystyle\int (x^3 + 2x - 1) \ dx##
##\displaystyle\int (x^3 + 2x - 1) \ dx##
Evaluate the following indefinite integral
##\displaystyle\int (\sqrt{x} - 5 \sqrt[3]{x^2}) \ dx##
##\displaystyle\int (\sqrt{x} - 5 \sqrt[3]{x^2}) \ dx##
Evaluate the indefinite integral
##\displaystyle\int (\frac{3}{x^2} - \frac{1}{x}) \ dx##
##\displaystyle\int (\frac{3}{x^2} - \frac{1}{x}) \ dx##
Evaluate the indefinite integral
##\displaystyle\int (x^4 - \frac{1}{3\sqrt{x}} + \frac{2}{5}x^{-\frac{4}{3}}) \ dx##
##\displaystyle\int (x^4 - \frac{1}{3\sqrt{x}} + \frac{2}{5}x^{-\frac{4}{3}}) \ dx##