k.Vijay

 19 Substitution Integral: $\int_0^3\frac {\sqrt{x}}{\sqrt{x}+\sqrt{3-x}} dx$ 10 Integrate functions from point 'a' to point 'a' proof 5 Find $xyz$, given that the value of $x^2+y^2+z^2$, $x+y+z=x^3+y^3+z^3=7$ 4 Integration : $\displaystyle\int 2x(x^2+2)^{\frac32}\ dx$ 4 Solve $\lim\limits_{h\to0} \frac{e^{2h^2}-1}{h^2}$

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### Questions (7)

 4 If $\lim\limits_{n\to \infty}a_n=a$, then what is the value of $\lim\limits_{n\to \infty}\frac{1}{\ln(n)}\sum_{r=1}^{n}\frac{a_r}{r}$? 2 If the roots of $9x^2-2x+7=0$ are $2$ more than the roots of $ax^2+bx+c=0$, then value of $4a-2b+c=$? 1 Alternative way of solving a mixture or allegation problem 1 If $999\times \mathrm{abc}=\mathrm{def123}$ in decimal system, then find $\mathrm{a,b,c,d,e\ and\ f}.$ 0 Locus of a point on a fixed line whose endpoints are moving along two orthogonal straight lines.

### Tags (57)

 43 integration × 9 7 linear-algebra × 4 42 calculus × 17 7 derivatives × 4 22 definite-integrals × 3 6 algebra-precalculus × 12 13 real-analysis × 4 5 logarithms × 3 10 ordinary-differential-equations × 10 4 complex-numbers × 4