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start learning

Question		Answer
∫dx start learning		x+C
∫x^n dx start learning		1/(n+1) x^(n+1) +C
∫ 1/x dx start learning		ln\|x\|+C
∫ a^x dx start learning		a^x/(ln a) +C
∫sin x start learning		-cos x +C
∫cos x start learning		sin x+C
∫tg x dx start learning		-ln\|cos x\|+C
∫ctg x dx start learning		ln\|sin x\|+C
∫dx/ cos² x start learning		tg x+C
∫dx/ sin² x start learning		-ctg x +C
∫dx/(x²+a²) start learning		1/a arctg x/a +C
∫dx/(x²-a²) start learning		1/2a ln\|(x-a)/(x+a)\|+C
∫dx/√a²-x² start learning		arcsin x/a +C
2cos x= start learning		cos ²x-sin²x
∫e^(ax) dx start learning		1/a e^x +C
∫sin ax dx start learning		-1/a cos ax +C
∫cos ax dx start learning		1/a sin ax +C
Pole pod wykresem start learning		P=∫[g(x) - f(x)]dx
Długość wykresu start learning		L=∫√(1+[f'(x)]²) dx

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