### Questions (8)

 6 Generalized Method to find nth power of matrix in $P^n = 5I - 8P$ 2 Ambiguity in deciding upper and lower limits of definite integration while doing substitutions 1 Why $f(x)$ cannot be obtained clearly from $\int ^{b}_{a} (f(x)-3x)\; dx=a^2-b^2$ 1 Can we differentiate a differential equation to determine its order and degree? [duplicate] 1 Regarding one to one and many to one functions , rational functions.

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 3 Solve the following system of equations:$|x|+|y|=2$ and $y=x+1$. -2 Two lines passing through $(-2,5)$ making angles $\arctan\frac 34$ & $\arctan\frac 23$ with the line $x-y+5=0$.Find the equations of the lines

### Tags (23)

 3 contest-math × 4 0 integration × 3 3 systems-of-equations 0 definition × 2 3 absolute-value 0 fake-proofs × 2 1 algebra-precalculus × 2 0 calculus × 2 0 definite-integrals × 3 0 conic-sections

### Bookmarks (31)

 33 Sum of Squares of Harmonic Numbers 30 What other tricks and techniques can I use in integration? 30 Is Dirichlet function Riemann integrable? 22 Challenging problem: Calculate $\int_0^{2\pi}x^2 \cos(x)\operatorname{Li}_2(\cos(x))dx$ 13 True or False : If $f(x)$ and $f^{-1}(x)$ intersect at an even number of points , all points lie on $y=x$