CUET UG · Mathematics / Applied Mathematics (Domain)
Indefinite integrals by substitution, parts and partial fractions; definite integrals and properties.
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Q1 · Integrals · EASY
Evaluate the indefinite integral: ∫(3x² + 4x + 5) dx
Q2 · Integrals · MEDIUM
Evaluate: ∫(2x + 3)/(x² + 3x + 7) dx
Q3 · Integrals · MEDIUM
Evaluate: ∫x·e^x dx using integration by parts
Q4 · Integrals · HARD
Evaluate the definite integral: ∫[from 0 to π/2] sin²(x) dx. Given that sin²(x) = (1 - cos(2x))/2
Q5 · Integrals · MEDIUM
Evaluate ∫(2x + 3)/(x² + 3x + 2) dx: