CUET UG · Mathematics / Applied Mathematics (Domain)

Integrals

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:

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