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Category: Integration

cot-4-xdx-

Question Number 20666 by NECx last updated on 31/Aug/17 $$\int\mathrm{cot}\:^{\mathrm{4}} {xdx} \\ $$ Answered by Joel577 last updated on 31/Aug/17 $$\mathrm{cosec}^{\mathrm{2}} \:{x}\:−\:\mathrm{cot}^{\mathrm{2}} \:{x}\:=\:\mathrm{1} \\ $$$${I}\:=\:\int\:\mathrm{cot}^{\mathrm{2}}…

In-what-time-shall-a-carpet-of-length-l-and-radius-R-unroll-on-a-flat-rough-ground-if-given-a-little-push-to-start-the-motion-

Question Number 20664 by ajfour last updated on 31/Aug/17 $${In}\:{what}\:{time}\:{shall}\:{a}\:{carpet}\:{of} \\ $$$${length}\:\boldsymbol{{l}}\:{and}\:{radius}\:\boldsymbol{{R}}\:{unroll}\:{on} \\ $$$${a}\:{flat}\:{rough}\:{ground}\:{if}\:{given}\:{a}\: \\ $$$${little}\:{push}\:{to}\:{start}\:{the}\:{motion}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

4-8-x-x-dx-

Question Number 86138 by jagoll last updated on 27/Mar/20 $$\int\underset{−\mathrm{4}} {\overset{\mathrm{8}} {\:}}\:\frac{\mid\mathrm{x}\mid}{\mathrm{x}}\:\mathrm{dx}\:=\:? \\ $$ Commented by Prithwish Sen 1 last updated on 27/Mar/20 $$\mathrm{l}\underset{\epsilon\rightarrow\mathrm{0}} {\mathrm{t}}\:\left\{\int_{−\mathrm{4}}…

sin-x-cos-x-sin-2x-dx-

Question Number 86091 by jagoll last updated on 27/Mar/20 $$\int\:\frac{\mathrm{sin}\:\mathrm{x}−\mathrm{cos}\:\mathrm{x}}{\:\sqrt{\mathrm{sin}\:\mathrm{2x}}}\:\mathrm{dx} \\ $$ Commented by john santu last updated on 27/Mar/20 $${in}\:{other}\:{way} \\ $$$$\int\:−\frac{{d}\left(\mathrm{sin}\:{x}+\mathrm{cos}\:{x}\right)}{\:\sqrt{\left(\mathrm{sin}\:{x}+\mathrm{cos}\:{x}\right)^{\mathrm{2}} −\mathrm{1}}}\: \\…