OCR Mathematics B (MEI) -- A+ level
Difficult differentiations and
integrations
-cosec(x) + c - ANS-∫cosec(x)cot(x) dx
-cosec(ax) + c - ANS-∫a cosec(ax)cot(ax) dx
sec(x) + c - ANS-∫sec(x)tan(x) dx
sec(ax) + c - ANS-∫a sec(ax)tan(ax) dx
-cot(x) + c - ANS-∫cosec²(x) dx
-cot(ax) + c - ANS-∫a cosec²(ax) dx
(1/f'(x))e^f(x) + c - ANS-∫e^f(x) dx
(1/a)ln |ax + b| + c - ANS-∫1/(ax + b) dx
ln |f(x)| + c - ANS-∫f'(x)/f(x) dx
uv - ∫v(du/dx) dx - ANS-∫u(dv/dx) dx
a sec(ax)tan(ax) - ANS-d/dx [sec ax]
-a cosec²(ax) - ANS-d/dx [cot ax]
-a cosec(ax)cot(ax) - ANS-d/dx [cosec ax]
f'(x)e^f(x) - ANS-d/dx [e^f(x)]
f'(x)/f(x) - ANS-d/dx [ln f(x)]
Difficult differentiations and
integrations
-cosec(x) + c - ANS-∫cosec(x)cot(x) dx
-cosec(ax) + c - ANS-∫a cosec(ax)cot(ax) dx
sec(x) + c - ANS-∫sec(x)tan(x) dx
sec(ax) + c - ANS-∫a sec(ax)tan(ax) dx
-cot(x) + c - ANS-∫cosec²(x) dx
-cot(ax) + c - ANS-∫a cosec²(ax) dx
(1/f'(x))e^f(x) + c - ANS-∫e^f(x) dx
(1/a)ln |ax + b| + c - ANS-∫1/(ax + b) dx
ln |f(x)| + c - ANS-∫f'(x)/f(x) dx
uv - ∫v(du/dx) dx - ANS-∫u(dv/dx) dx
a sec(ax)tan(ax) - ANS-d/dx [sec ax]
-a cosec²(ax) - ANS-d/dx [cot ax]
-a cosec(ax)cot(ax) - ANS-d/dx [cosec ax]
f'(x)e^f(x) - ANS-d/dx [e^f(x)]
f'(x)/f(x) - ANS-d/dx [ln f(x)]
