Integrating Derivatives of Inverse Trig Functions
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Problems 10
- Integrate. ∫11231261−36t2 dt\int_{\frac1{12}}^{\frac{\sqrt3}{12}}\frac{6}{\sqrt{1-36t^2}}\,dt∫1211231−36t26dt
- Integrate. ∫018x2+1 dx\int_0^1\frac{8}{x^2+1}\,dx∫01x2+18dx
- Integrate. ∫sin−1(x)1−x2 dx\int\frac{\sin^{-1}(x)}{\sqrt{1-x^2}}\,dx∫1−x2sin−1(x)dx
- Integrate. ∫10sin−1(x)1−x2 dx\int\frac{10}{\sin^{-1}(x)\sqrt{1-x^2}}\,dx∫sin−1(x)1−x210dx
- Integrate. ∫3+2x1+x2 dx\int\frac{3+2x}{1+x^2}\,dx∫1+x23+2xdx
- Integrate. ∫y1+4y4 dy\int\frac{y}{1+4y^4}\,dy∫1+4y4ydy
- Integrate. ∫−sinx1−cos2x dx\int-\frac{\sin x}{\sqrt{1-\cos^2x}}\,dx∫−1−cos2xsinxdx
- Integrate. ∫2xln21+4x dx\int\frac{2^x\ln 2}{1+4^x}\,dx∫1+4x2xln2dx
- Integrate. ∫2esin−1(2x)1−4x2 dx\int\frac{2e^{\sin^{-1}(2x)}}{\sqrt{1-4x^2}}\,dx∫1−4x22esin−1(2x)dx
- Integrate. ∫1x2tan−1x+tan−1x dx\int\frac{1}{x^2\tan^{-1}x+\tan^{-1}x}\,dx∫x2tan−1x+tan−1x1dx