DP Mathematics HL Questionbank

Definite integrals.
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- 18M.1.hl.TZ2.6b: Hence, or otherwise, find...
- 18M.2.hl.TZ1.9d: The shaded region is rotated by 2π about the y-axis. Find the volume of the solid formed.
- 18M.1.hl.TZ1.7b: Find ∫10arccos(x2)dx.
- 18M.1.hl.TZ1.4b: ∫0−2f(x + 2)dx.
- 18M.1.hl.TZ1.4a: ∫0−2(f(x) + 2)dx.
- 16M.1.hl.TZ2.3b: Hence find...
- 17M.1.hl.TZ1.11d: Hence find the value of p if ∫10f(x)dx=ln(p).
- 09M.1.hl.TZ2.4: (a) Show that \(\frac{3}{{x + 1}} + \frac{2}{{x + 3}} = \frac{{5x + 11}}{{{x^2} + 4x +...
- 09M.1.hl.TZ1.9: (a) Let a>0 . Draw the graph of y=|x−a2| for...
- SPNone.3ca.hl.TZ0.4b: Determine the value of ∫a−af(x)dx where a>0 .
- 13M.1.hl.TZ1.10b: Find \(\int_{\frac{1}{{n + 1}}}^{\frac{1}{n}} {\pi {x^{ - 2}}\sin (\pi {x^{ - 1}}){\text{d}}x}...
- 13M.1.hl.TZ1.10c: Evaluate ∫10.1|πx−2sin(πx−1)|dx.
- 13M.1.hl.TZ2.1: Find the exact value of...
- 14M.1.hl.TZ1.5c: Hence find the value of...
- 13N.1.hl.TZ0.12f: S is rotated through 2π radians about the x-axis. Find the value of the volume generated.
- 13N.1.hl.TZ0.12e: Hence find the value of ∫π20cos6θdθ.
- 15N.2.hl.TZ0.5a: (i) Express the area of the region R as an integral with respect to y. (ii) ...