Recently Active Calculus Questions

\int \frac{1}{(2sinx+secx)^{4}}dx for practice ...

f(x)=|x-x2| What is the maximum value of this fn? ans is 6 but i got as 1 ...

TMH iit jee for 2008: pg-21.16 , f(x)=sin(2x+1) f:R→[-1,1] domain is restricted to [-3Π/4 - 1/2 , -Π/2-1/2] In this case find onto or not? Can u pls explain with the help of graph? *Image* /hide] I think it is not onto .. ...

\int \frac{1}{(x+\sqrt{x^{2}-1)}^{2}}dx far practize ...

question in next post.. evaluate the first one and then do the second one ...

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I have a problem with a most most most basic question!! If f(x)=x+1 and g(x)=x-2, then solve the equation, |f(x)+g(x)|=|f(x)|+|g(x)| the stupid answers given is x≤-1 and x≥-2...how is this possible??? ...

\int_{\pi /4}^{3\pi /4}{\frac{x}{1+sinx}}dx for practice ans.........> \pi (\sqrt{2}-1) ...

Find no of solutions of : Sin(pi x)=|log|x||. ...

1.evaluate *Image* far practize ...

Question 1 Multiple Correct Answer Type For the curve y=ce^{\frac{x}{a}} A) subtangent is constant B) subnormal varies as square of abcissa C) x-intercept of tangent is 2a-c D) normal at its point of intersection with y-axis ...

\int \frac{a^{x/2}}{\sqrt{a^{-x}-a^{x}}}dx ans...........> (1/log a)sin-1(ax) + c ...

\lim_{n\rightarrow \infty }\sum_{r=1}^{2n}{\frac{r}{n\sqrt{n^{2}+r^{2}}}} ans...........> 5 - 1 ...

Q:-find the maximum and minimum values of F(x)=sinx+1/2cosx in 0<=x<=∩/2 ...

*Image* ans - 1 . π/4 - 1/2 log 2 far practize ...

\boxed{1} Find the value of a for which \int_{0}^{\pi}\{ax(\pi^{2}-x^{2})-\sin x\}^{2}dx is minimized. (easy one) for prac. \boxed{2} Let f(x) be a continuous function satisfying *Image* Find the value of k for which *Image* ...

1. \int_{sinx}^{1}{t^{2}f(t)dt}=1-sinx,0\leq x\leq \frac{\pi }{2}, then f\left(\frac{1}{\sqrt{3}} \right)= ans ---------> 3 2. Function f is continuous for all x,( and not everywhere 0), such that \left\{f(x) \right\}^{2} ...

Q:- Water is dripping through a tiny hole at the vertex in the bottom of a conical funnel at a uniform rate of 4 cm3/s.When the slant height of the water is 3 cm,find the rate of the decrease of the slant height of the water, ...

Q:- An inverted cone has a depth of 40cm and a base of radius 5cm.Water is poured into it at a rate of 1.5 cubic centimetres per minute.Find the rate at which the level of water in the cone is rising when the depth is 4cm. ...

Prove that \left(a^{\alpha} +b^{\alpha } \right)^{1/\alpha }<(a^{\beta }+b^{\beta })^{1/\beta } when a>0,b>0 , \alpha >\beta >0 ...

1. *Image* ...

soln of (dy/dx)2-xdy/dx+y=0 in solns they have solved using options...but is there a direct soln ?? ...

Does n! = the integral from 0 to infinity of (x^n)(e^-x)dx hold true for all real numbers? If so, can we find the derivative of n!? ...

no. of distinct real roots of f"(x) if f(x)=(x-1)25(x-2)43(x-3)11 ...

THIS REMAINS ONE OF MY GREATEST DOUBTS Integrate e x cos a da . ...

*Image* 2. *Image* 3. *Image* integrate w.r.t . alpha( α) thnks gov bhai FAR PRAACTIZE ...

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let f(x)=\int_{0}^{1}{\left|t-x \right|t.dt} for all real xfind the function f(x) and its minimum value ...

Limit \lim_{n\to\infty}\frac{(n+1)^{9}+(n+2)^{9}+\cdots+(n+n)^{9}}{1^{9}+2^{9}+\cdots+n^{9}} =2^{k}-1 Find K ...

\int_{-\pi /2}^{\pi /2}{log\left[\frac{ax^{2}+bx+c}{ax^{2}-bx+c} (a+b)\left|sinx \right|\right]}dx ans----------> \pi ln\left(\frac{a+b}{2} \right) ...