Analysis
Problems related to calculus, limits, series, etc.
Problems in this category
The problem asks us to evaluate the definite integral $\int (5x^4 - 3x^2 + \frac{3\sqrt{x}}{2}) dx$.
IntegrationDefinite IntegralPower Rule
2025/3/17
The problem asks us to find the indefinite integral of the function $5x^4 - 3x^2 + \frac{3\sqrt{x}}{...
IntegrationIndefinite IntegralsPower RuleCalculus
2025/3/17
The problem asks to find the indefinite integral of the function $5x^4 - 3x^2 + \frac{3\sqrt{x}}{2}$...
IntegrationIndefinite IntegralPower RuleCalculus
2025/3/17
The problem is to find the indefinite integral of the expression $(5x^4 - 3x^2 + \frac{3\sqrt{x}}{2}...
IntegrationIndefinite IntegralCalculusPower Rule
2025/3/17
We need to evaluate the integral $\int \frac{x^2 + 72}{(x \sin x + 9 \cos x)^2} dx$.
IntegrationIntegration by PartsTrigonometric Functions
2025/3/17
We need to evaluate the indefinite integral $\int \frac{x^2 + 72}{(x \sin x + 9 \cos x)^2} dx$.
CalculusIntegrationIndefinite IntegralTrigonometric FunctionsQuotient Rule
2025/3/17
The problem is to evaluate the indefinite integral $\int e^{2x} \sin x \, dx$.
IntegrationIntegration by PartsIndefinite IntegralTrigonometric FunctionsExponential Functions
2025/3/17
The problem asks us to evaluate the integral $\int \frac{x^2 + 72}{(x \sin x + 9 \cos x)^2} dx$.
IntegrationCalculusTrigonometrySubstitution
2025/3/17
We are asked to find the indefinite integral of the function $5x^4 - 3x^2 + \frac{3\sqrt{x}}{2}$ wit...
IntegrationIndefinite IntegralPower RuleCalculus
2025/3/17
The problem asks to find the value of the integral $\int \frac{1}{\sin x - \cos x} dx$.
CalculusIntegrationTrigonometric FunctionsDefinite IntegralsSubstitutionTrigonometric Identities
2025/3/17