Analysis
Problems related to calculus, limits, series, etc.
Problems in this category
The problem is to evaluate the indefinite integral: $\int \sqrt{3x-5} dx$
IntegrationIndefinite IntegralSubstitution RulePower Rule
2025/4/30
The problem asks us to evaluate the definite integral $\int (2x+1)^7 dx$.
Definite IntegralIntegrationSubstitutionPower Rule
2025/4/30
The problem asks to evaluate the indefinite integral $\int (2x+1)^7 dx$.
Integrationu-substitutionIndefinite IntegralPower Rule
2025/4/30
The problem is to evaluate the integral of a rational function: $\int \frac{1+3x+7x^2-2x^3}{x^2} dx$
IntegrationRational FunctionsCalculus
2025/4/30
The problem asks us to calculate the indefinite integral of the function $\frac{1+3x+7x^2-2x^3}{x^2}...
CalculusIntegrationIndefinite IntegralFunctions
2025/4/30
The problem asks us to evaluate the indefinite integral $I = \int \frac{x^3}{\sqrt{4-x^2}} dx$.
Indefinite Integralu-substitutionCalculus
2025/4/30
We are asked to evaluate the integral $I = \int \frac{x^3}{\sqrt{4-x^2}} dx$.
IntegrationSubstitutionDefinite IntegralCalculus
2025/4/30
We need to evaluate the integral $I = \int \frac{x^3}{\sqrt{4-x^2}} \, dx$.
IntegrationSubstitutionDefinite Integral
2025/4/30
The problem asks to evaluate the integral: $I = \int \frac{x^3}{\sqrt{4 - x^2}} dx$
IntegrationTrigonometric SubstitutionDefinite Integral
2025/4/30
The problem is to evaluate the following four integrals, showing two different methods for solving e...
IntegrationDefinite Integralsu-substitutionTrigonometric IdentitiesExponential IntegralCalculus
2025/4/29