Maths is quite an abstract subject, and it can be rather intimidating at times. However, you can learn mathematics easily and effortlessly if you practice enough. To guide you in this endeavour, we have provided detailed solutions on many important concepts. The solutions are elaborated with simple, yet detailed explanations. Relevant formulas are listed out wherever required. Tips and shortcuts are provided to save precious time and effort.

Content is presented in a format which can be comprehended with ease. This means students will understand concepts without much hassle. From an exam perspective, a wide range of questions is covered from a plethora of subjects concepts from Trigonometry and Statistics to Calculus and Integrals.

Just like any other subject, mathematics can be better understood through exhaustive practice. Consider this analogy: a skill such as dancing or painting can only be perfected with enough practice. Similarly, the only way to get better at math is to keep practising. Moreover, we have a database of questions extracted from school textbooks and competitive exams. These will help the students to practice and perfect concepts in mathematics.

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Lett=logtan[x/2]⇒dt=1/ tan[x/2] * sec^2 x/2 × ½ dx⇒dt=1/2 cos^2 x/2 × cot x/2dx⇒dt=1/2 * 1/ cos^2 x/2 × cosx/2 / sin x/2 dx⇒dt=1/2 cosx/2 / sin...
Take log(cosx) as first function and 1 as second function.... Use integration by parts formula that is ∫f(x).g(x) = f(x).g'(x) -...
I=integ.of (1+tanx)/(1-tanx).dxI =integ.of (tan45° +tanx)/(1-tan45°.tanx).dxI=integ.of tan(45°+x).dxI=[ sec^2(45°+x)]/1 + CI= sec^2(45°+x) + C...
I = integral of log([1/x] - 1) dx ------- (1)I = integral of log(1/1-x - 1) dxI = Integral 0 to 1 log(1-[1-x]/[1-x]) dxI = Integral 0 to 1 log(x...
First put x = -x and add Refer to the following steps to solve for the simplified integral. By symmetry we have In cos z = In sin z on the...
Since the adjacent sides of trapezium are supplementry, ADC + ABC= 180°. 3ABC = 180° Also ABC =60°, BAD=60° And ADC=120° and CBA = 120°. Draw a...
According to Euclid division Lemma,72=56*1+1656=16*3+816=8*2+0....... So, 8 is the HCF. Now 8=56-(16*3)..... 8 is expressed in terms of 56 and...
We know ,odd number in the form of (2Q +1) where Q is a natural number ,so, n² -1 = (2Q + 1)² -1= 4Q² + 4Q + 1 -1= 4Q² + 4Qnow , checking :Q = 1...

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