1.10. Uzdevumi

$\displaystyle 1.$	$\displaystyle \;\;\int\frac{x+1}{\sqrt{x}}dx;$	$\displaystyle 2.$	$\displaystyle \;\;\int(x^4+1)x^3dx ;$
$\displaystyle 3.$	$\displaystyle \;\;\int(3-x^2)^3dx ;$	$\displaystyle 4.$	$\displaystyle \;\;\int(2^x+3^x)^2dx ;$
$\displaystyle 5.$	$\displaystyle \;\;\int(2x-3)^{10}dx ;$	$\displaystyle 6.$	$\displaystyle \;\;\int\frac{dx}{\sqrt{2-5x}} ;$
$\displaystyle 7.$	$\displaystyle \;\;\int\frac{dx}{\sin^2\left(2x+\frac{\pi}{4}\right)} ;$	$\displaystyle 8.$	$\displaystyle \;\;\int\frac{dx}{2+3x^2} ;$
$\displaystyle 9.$	$\displaystyle \;\;\int\frac{dx}{\sqrt{3x^2-2}} ;$	$\displaystyle 10.$	$\displaystyle \;\;\int\frac{dx}{1+\cos x} ;$
$\displaystyle 11.$	$\displaystyle \;\;\int\frac{x^2dx}{1-x^2} ;$	$\displaystyle 12.$	$\displaystyle \;\;\int\tg^2xdx ;$
$\displaystyle 13.$	$\displaystyle \;\;\int\frac{2x+3}{3x+2}dx ;$	$\displaystyle 14.$	$\displaystyle \;\;\int\frac{2^{x+1}-5^{x-1}}{10^x}dx ;$
$\displaystyle 15.$	$\displaystyle \;\;\int\frac{xdx}{\sqrt{1-x^2}};$	$\displaystyle 16.$	$\displaystyle \;\;\int\frac{dx}{x\ln x};$
$\displaystyle 17.$	$\displaystyle \;\;\int\frac{xdx}{4+x^2};$	$\displaystyle 18.$	$\displaystyle \;\;\int xe^{-x^2}dx ;$
$\displaystyle 19.$	$\displaystyle \;\;\int\frac{\ln^2x}{x}dx;$	$\displaystyle 20.$	$\displaystyle \;\;\int\sin^5x\cos xdx;$
$\displaystyle 21.$	$\displaystyle \;\;\int\frac{\arctg x}{1+x^2}dx;$	$\displaystyle 22.$	$\displaystyle \;\;\int x^3(1-5x^2)^{10}dx;$
$\displaystyle 23.$	$\displaystyle \;\;\int\frac{x^5dx}{\sqrt{1-x^2}};$	$\displaystyle 24.$	$\displaystyle \;\;\int\cos^5x\sin xdx;$
$\displaystyle 25.$	$\displaystyle \;\;\int\frac{dx}{\sqrt{1+e^x}};$	$\displaystyle 26.$	$\displaystyle \;\;\int\sqrt{16-x^2}dx;$
$\displaystyle 27.$	$\displaystyle \;\;\int\arctg xdx;$	$\displaystyle 28.$	$\displaystyle \;\;\int x^2e^{-x}dx;$
$\displaystyle 29.$	$\displaystyle \;\;\int\ln xdx;$	$\displaystyle 30.$	$\displaystyle \;\;\int\sin(\ln x)dx;$
$\displaystyle 31.$	$\displaystyle \;\;\int\frac{2x+3}{(x-2)(x+5)}dx;$	$\displaystyle 32.$	$\displaystyle \;\;\int\frac{x^3+1}{x^3-5x^2+6x}dx;$
$\displaystyle 33.$	$\displaystyle \;\;\int\left(\frac{x}{x^2-3x+2}\right)^2dx;$	$\displaystyle 34.$	$\displaystyle \;\;\int\frac{x^2+5x+4}{x^4+5x^2+4}dx;$
$\displaystyle 35.$	$\displaystyle \;\;\int\frac{dx}{(x^2-4x+4)(x^2-4x+5)};$	$\displaystyle 36.$	$\displaystyle \;\;\int\frac{dx}{x^4-1};$
$\displaystyle 37.$	$\displaystyle \;\;\int\frac{dx}{x(1+2\sqrt{x}+\sqrt[3]{x})};$	$\displaystyle 38.$	$\displaystyle \;\;\int\frac{\sqrt{x+1}-\sqrt{x-1}}{\sqrt{x+1}+\sqrt{x-1}}dx;$
$\displaystyle 39.$	$\displaystyle \;\;\int\frac{x^2dx}{\sqrt{x^2+x+1}};$	$\displaystyle 40.$	$\displaystyle \;\;\int\frac{dx}{(x+1)\sqrt{x^2+x+1}};$
$\displaystyle 41.$	$\displaystyle \;\;\int\frac{x^3dx}{\sqrt{1+2x-x^2}};$	$\displaystyle 42.$	$\displaystyle \;\;\int\frac{dx}{1+\sqrt{1-2x-x^2}};$
$\displaystyle 43.$	$\displaystyle \;\;\int\frac{dx}{\sqrt{-2x^2+5x-2}};$	$\displaystyle 44.$	$\displaystyle \;\;\int\frac{\sqrt[3]{x}}{x(\sqrt{x}+\sqrt[3]{x})}dx;$
$\displaystyle 45.$	$\displaystyle \;\;\int\frac{\sqrt[3]{1+\sqrt[4]{x}}}{\sqrt{x}}dx;$	$\displaystyle 46.$	$\displaystyle \;\;\int\frac{dx}{\sqrt[4]{1+x^4}};$
$\displaystyle 47.$	$\displaystyle \;\;\int\frac{\sqrt{1-\frac{1}{\sqrt[3]{x}}}}{\sqrt{x}}dx;$	$\displaystyle 48.$	$\displaystyle \;\;\int x^2\sqrt{x^2+1}dx;$
$\displaystyle 49.$	$\displaystyle \;\;\int\frac{dx}{2\sin x-\cos x+5};$	$\displaystyle 50.$	$\displaystyle \;\;\int\frac{dx}{1+2\cos x};$
$\displaystyle 51.$	$\displaystyle \;\;\int\frac{\sin xdx}{\sin^3x+\cos^3x};$	$\displaystyle 52.$	$\displaystyle \;\;\int\cos^5xdx;$
$\displaystyle 53.$	$\displaystyle \;\;\int\sin^6xdx;$	$\displaystyle 54.$	$\displaystyle \;\;\int\sin^2x\cos^4xdx;$
$\displaystyle 55.$	$\displaystyle \;\;\int\frac{\sin^3x}{\cos^4x}dx;$	$\displaystyle 56.$	$\displaystyle \;\;\int\tg^5xdx;$
$\displaystyle 57.$	$\displaystyle \;\;\int\sin^22x\cos2xdx;$	$\displaystyle 58.$	$\displaystyle \;\;\int\cos2x\cos3xdx;$
$\displaystyle 59.$	$\displaystyle \;\;\int\sin 5x\cos xdx.$		$\displaystyle \;\;$