001 | Find the indefinite integral \(\int\frac{x^2+2}{x^3+5x^2+2x-8} dx\) |
002 | Find the indefinite integral \(\int\frac{4x^4-2}{x^3+4x^2+x-6} dx\) |
003 | Find the indefinite integral \(\int\frac{4x^4-22x^3+11x^2-99x-34}{x^3-6x^2+4x-24} dx\) |
004 | Find the indefinite integral \(\int\frac{3x^4+4x^2+5x}{(x-1)(x^2+1)^2} dx\) |
005 | Find the indefinite integral \(\int\frac{x^6+6x^4+8x^2-4}{(x^2+4)(x^2+3)} dx\) |
006 | Find the indefinite integral \(\int(-4x^4+6x^2+8x-1)\cos(x) dx\) |
007 | Find the indefinite integral \(\int(-7x^5+2x^4-2)\cdot3^xdx\) |
008 | Find the indefinite integral \(\int\arcsin^4(x) dx\) |
009 | Find the indefinite integral \(\int\sin(\ln(x)) dx\) |
010 | Find the indefinite integral \(\int(12x^{15}-3x^7-4x^3)\cdot e^{2x^4} dx\) |
011 | Find the indefinite integral \(\int\frac{\sqrt{(3x^2+4)^3}}{x^4} dx\) |
012 | Find the indefinite integral \(\int\frac{x^2}{\sqrt{2x^2-5}} dx\) |
013 | Find the indefinite integral \(\int\frac{x^6}{\sqrt{(x^2+4)^3}} dx\) |
014 | Find the indefinite integral \(\int x^2\sqrt{4-3x^2} dx\) |
015 | Find the indefinite integral \(\int x^4\cdot\sqrt{x^2+4x+5} dx\) |
016 | Find the indefinite integral \(\int\frac{\sqrt{x+2}}{x+1} dx\) |
017 | Find the indefinite integral \(\int\frac{\sqrt{x+2}-4}{5-\sqrt{x+2}} dx\) |
018 | Find the indefinite integral \(\int\frac{3\sqrt[3]{2x-1}-4}{\sqrt[6]{2x-1}-1} dx\) |
019 | Find the indefinite integral \(\int\sqrt{\frac{x+3}{1-x}} dx\) |
020 | Find the indefinite integral \(\int\frac{\sqrt[3]{x+1}-\sqrt{x+1}}{x} dx\) |
021 | Find the indefinite integral \(\int\frac{\sin(x)-3\cos(x)}{\cos(x)-2} dx\) |
022 | Find the indefinite integral \(\int\frac{3\sec(x)-\cot(x)}{1-\csc(x)} dx\) |
023 | Find the indefinite integral \(\int\frac{\tan^2(x)+2}{\tan(x)+2} dx\) |
024 | Find the indefinite integral \(\int\frac{3\sin^4(x)-2\cos^2(x)}{1+\sin^2(x)} dx\) |
025 | Find the indefinite integral \(\int\tan^4(x)\sec^5(x) dx\) |