DP Mathematics HL Questionbank

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Directly related questions

• 18M.1.hl.TZ2.6b: Hence, or otherwise, find...
• 18M.2.hl.TZ1.9d: The shaded region is rotated by 2\(\pi \) about the \(y\)-axis. Find the volume of the solid formed.
• 18M.1.hl.TZ1.7b: Find \(\int_0^1 {{\text{arccos}}\left( {\frac{x}{2}} \right){\text{d}}x} \).
• 18M.1.hl.TZ1.4b: \(\int_{ - 2}^0 {f\left( {x{\text{ + 2}}} \right){\text{d}}x} \).
• 18M.1.hl.TZ1.4a: \(\int_{ - 2}^0 {\left( {f\left( x \right){\text{ + 2}}} \right){\text{d}}x} \).
• 16M.1.hl.TZ2.3b: Hence find...
• 17M.1.hl.TZ1.11d: Hence find the value of \(p\) if \(\int_0^1 {f(x){\text{d}}x = \ln (p)} \).
• 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 \(y = \left| {x - \frac{a}{2}} \right|\) for...
• SPNone.3ca.hl.TZ0.4b: Determine the value of \(\int_{ - a}^a {f(x){\text{d}}x} \) 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 \(\int_{0.1}^1 {\left| {\pi {x^{ - 2}}\sin (\pi {x^{ - 1}})} \right|{\text{d}}x} \).
• 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 \(2\pi \) radians about the x-axis. Find the value of the volume generated.
• 13N.1.hl.TZ0.12e: Hence find the value of \(\int_0^{\frac{\pi }{2}} {{{\cos }^6}\theta {\text{d}}\theta } \).
• 15N.2.hl.TZ0.5a: (i)     Express the area of the region \(R\) as an integral with respect to \(y\). (ii)    ...