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

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Integrating Other Functions (Trig, ln & e etc)
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What is ∫sin⁡(x) dx\int \sin(x) \, dx?

−cos⁡(x)+C-\cos(x) + C

What is ∫cos⁡(x) dx\int \cos(x) \, dx?

sin⁡(x)+C\sin(x) + C

What is ∫sec⁡2(x) dx\int \sec^2(x) \, dx?

tan⁡(x)+C\tan(x) + C

What is ∫ex dx\int e^x \, dx?

ex+Ce^x + C

What is ∫e5x dx\int e^{5x} \, dx?

15e5x+C\frac{1}{5}e^{5x} + C

What is ∫ln⁡(x) dx\int \ln(x) \, dx?

xln⁡(x)−x+Cx\ln(x) - x + C

What is ∫11+x2 dx\int \frac{1}{1 + x^2} \, dx?

arctan⁡(x)+C\arctan(x) + C

The standard integral rule 'divide by differential of bracket' only works for which bracket form?

ax+bax + b

What is ∫sin⁡2(x) dx\int \sin^2(x) \, dx?

x2−14sin⁡(2x)+C\frac{x}{2} - \frac{1}{4}\sin(2x) + C

What is ∫x−1 dx\int x^{-1} \, dx?

ln⁡∣x∣+c\ln|x| + c

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