Related InterviewSolutions

• `intx"cosec"^(2)xdx=?`A. `xcotx-log|sinx|+C`B. `-xcotx+log|sinx|+C`C. `xtanx-log|secx|+C`D. none of these
• Evaluate the following integrals: `int"cosec"^(3)xdx`
• `int((1+sinx))/((1+cosx))dx=?`A. `"tan"(x)/(2)+2log|"cos"(x)/(2)|+C`B. `"-tan"(x)/(2)+2log|"cos"(x)/(2)|+C`C. `"tan"(x)/(2)-2log|"cos"(x)/(2)|+C`D. none of these
• `int((x^(2)+1))/((x^(4)+1))dx=?`A. `(1)/(sqrt(2))tan^(-1)(x-(1)/(x))+C`B. `(1)/(sqrt(2))cot^(-1){(x-(1)/(x))}+C`C. `(1)/(sqrt(2))tan^(-1){(1)/(sqrt(2))(x-(1)/(x))}+C`D. none of these
• `int(sqrt((2+logx)))/(x)dx`
• `int"cosec"xdx=?`A. `log|"cosec"x-cotx|+C`B. `-log|"cosec"x-cotx|+C`C. `log|"cosec "x+cotx|+C`D. none of these
• `int((1+tanx)/(1-tanx))dx`
• `int(sec^(2)x)/(sqrt(1-tan^(2)x))dx=?`A. `sin^(-1)(tanx)+C`B. `cos^(-1)(sinx)+C`C. `tan^(-1)(cosx)+C`D. `tan^(-1)(sinx)+C`
• `int(e^x(1+x))/(cos^2(x e^x)) dx=``2(log)_ecos(x e^x)+C`(b) `sec(x e^x)+C`(c) `tan(x e^x)+C`(d) `tan(x+e^x)+C`A. `tan(xe^(x))+C`B. `cot(xe^(x))+C`C. `ex^(x)tanx+C`D. none of these
• `intsecxdx=?`A. `log|secx-tanx|+C`B. `-log|secx+tanx|+C`C. `log|secx+tanx|+C`D. none of these