Set 4 — 2026 past papers
- 4.01: Exponential curve, tangent and integral
- 4.02: Area enclosed by a quadratic curve
- 4.03: Logarithmic integration equation
- 4.04: Curve from a second derivative
- 4.05: Area between a curve and a line
- 4.06: Area between rational curve and line
- 4.07: Area enclosed by two curves
- 4.08: Differentiation and integration
- 4.09: Integration by parts
Set 3 — 2021–2025 past papers
- 3.60: Differentiate a quotient and integrate tan
- 3.82: Area between curve and normal
- 3.62: Curve from second derivative; nature; exponential rates
- 3.81: Area between exponential curves
- 3.69: Integrals involving exponential, reciprocal and sec
- 3.78: Area between curve, tangent and -axis
- 3.80: Intersection of curve and line; shaded area
- 3.86: Integrals involving and an exponential
- 3.84: Definite cos integral and algebraic integral
- 3.40: Area involving a tangent to a reciprocal-power curve
- 3.9: Trigonometric derivative identity and integration
- 3.11: Exact area under an exponential curve
- 3.56: Normal intersecting a cubic again; definite integral
- 3.85: Area between curve and line; integrals
- 3.32: Differentiate ln of a cubic and integrate
- 3.79: Integration identity and shaded area
- 3.89: Recover from and given values
- 3.76: Partial fractions integration
- 3.7: Finding f(x) from a second derivative
- 3.87: Find from a derivative and a point
- 3.47: Tangent and exact area under a curve
- 3.77: Stationary point and shaded area under a curve
- 3.15: Equation of a curve from its derivative
- 3.83: Second-order differential equation of a curve
- 3.88: Area between a cubic curve and a horizontal line
Set 2
- 2.30: Curve from normal gradient and tangent equation
- 2.31: Stationary point and area under a semicircle curve
- 2.58: Definite integral of a squared binomial over
- 2.79: Product rule, normal and integration
- 2.14: Area between a power curve and a parabola
- 2.46: Definite integrals of rational and exponential functions
- 2.67: Secant derivative and logarithmic integration
- 2.56: Stationary point and integration using a derivative
- 2.76: Stationary point and shaded area
- 2.13: Exponential integral and curve from a derivative
- 2.42: Logarithms and integration of a simplified expression
- 2.63: Area between a parabola and a horizontal line
- 2.24: Normal and shaded area for an exponential curve
- 2.53: Normal to a square-root curve and shaded area
- 2.73: Integration from a second derivative
- 2.37: Differentiating and integrating with square roots of sine
- 2.38: Integration of power, sine and exponential functions
- 2.20: Differentiation leading to integration
- 2.21: Finding y from a second derivative
- 2.48: Curve from normal gradient and tangent equation
- 2.49: Differentiating and integrating
- 2.51: Tangent to a quadratic and shaded area
- 2.72: Logarithmic curve and integration
- 2.3: Finding the equation of a curve from its gradient
- 2.35: Product rule and logarithmic integration
- 2.36: Area between a cubic and a horizontal line
- 2.60: Intersection of a curve and line, then shaded area
- 2.19: Quotient rule, integration and inverse function
- 2.68: Derivative of a trigonometric quotient and area
- 2.1: Area bounded by a curve and two straight lines
- 2.33: Polynomial and trigonometric integration
Set 1
- 1.25: Logarithmic and trigonometric integration
- 1.86: Partial fractions and shaded area
- 1.12: Partial fractions and logarithmic integration
- 1.13: Equation of a curve from a trigonometric second derivative
- 1.41: Area bounded by line and hyperbola
- 1.69: Shaded area with hyperbola and straight line
- 1.22: Area between a cosine curve and a horizontal line
- 1.23: Equation of a curve from a trigonometric second derivative
- 1.54: Finding a curve from second derivative
- 1.82: Product rule and reverse integration
- 1.7: Area between a parabola and a straight line
- 1.68: Curve from second derivative and normal equation
- 1.18: Chain rule and integration by recognition
- 1.49: Finding a curve from second derivative
- 1.51: Differentiation and integration with fractional powers
- 1.80: Area between a parabola and a line
- 1.5: Minimum point and area between curve and chord
- 1.6: Finding the equation of a curve from a second derivative
- 1.36: Area bounded by exponential curve and normal
- 1.65: Minimum point and area between curve and chord
- 1.66: Finding a curve from a fractional second derivative
- 1.15: Area between an exponential curve and a chord
- 1.74: Finding a curve from an exponential gradient
- 1.75: Power integration and solving for a limit
- 1.33: Integrating an exponential and finding a second derivative
- 1.61: Definite integral leading to an exponential equation
- 1.62: Product rule and integration of a logarithm
- 1.14: Normal to a logarithmic curve and triangle area
- 1.44: Normal to a logarithmic curve and triangle area
- 1.45: Cosine graph and shaded area
- 1.71: Logarithmic differentiation and definite integration
- 1.72: Integration, normal and triangle area
- 1.2: Differentiation by product rule and definite integration
- 1.27: Cosine curve: coordinates and shaded area
- 1.28: Integration and normal meeting a horizontal line
- 1.59: Differentiation by product rule and definite integration