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Question		Answer
a^x start learning		a^x*lna
∫dx start learning		x+c
∫x^n dx start learning		1/(n+1) * x^(n+1) + c
∫x dx start learning		1/2 * x^2 + c
∫1/x start learning		ln\|x\| + c
∫a^x dx start learning		a^x / lna + c
∫e^xdx start learning		e^x + c
∫sinxdx start learning		-cosx + c
∫cosxdx start learning		sinx + c
∫tgx dx start learning		-ln\|cosx\| + c
∫ctgx dx start learning		ln\|sinx\|+c
∫dx/cos^2x start learning		tgx + c
∫dx/sin^2x start learning		-ctgx + c
∫dx/(x^2 + a^2) start learning		1/a * arctg(x/a) + c
∫dx/(x^2 - a^2) start learning		1/2a * ln\|(x-a)/(x+a)\| + c
∫dx/sqrt(a^2 - x^2) start learning		arcsin(x/a) + c
∫dx/sqrt(x^2 + q) start learning		ln\|x+ sqrt(x^2+q)\|+c

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