Integrating Other Functions (Trig, ln & e etc) (AQA A-Level Mathematics): Flashcards

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Integrating Other Functions (Trig, ln & e etc)
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Integral of sin⁡(x)\sin(x)

−cos⁡(x)+C-\cos(x) + C

Integral of cos⁡(x)\cos(x)

sin⁡(x)+C\sin(x) + C

Integral of sec⁡2(x)\sec^2(x)

tan⁡(x)+C\tan(x) + C

Integral of exe^x

ex+Ce^x + C

Integral of ekxe^{kx}

1kekx+C\frac{1}{k}e^{kx} + C

Integral of ln⁡(x)\ln(x)

xln⁡(x)−x+Cx\ln(x) - x + C

Integral of 11−x2\frac{1}{\sqrt{1-x^2}}

arcsin⁡(x)+C\arcsin(x) + C

Integral of 11+x2\frac{1}{1+x^2}

arctan⁡(x)+C\arctan(x) + C

Integral of 1x\frac{1}{x}

ln⁡∣x∣+C\ln|x| + C

Rule for integrating (ax+b)(ax+b) forms

Integrate the full thing, divide by differential of bracket

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