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(1^2)+(1^2+2^2)+(1^2+2^2+3^2)+...n terms=n(n+1)^2(n+2)/12
10:07
(1^2)+(1^2+2^2)+(1^2+2^2+3^2)+...n terms=n(n+1)^2(n+2)/12
2.3+3.4+4.5+...n terms= n(n^2+6n+11)/3 by the principle of mathematical induction, prove..
7:31
2.3+3.4+4.5+...n terms= n(n^2+6n+11)/3 by the principle of mathematical induction, prove..
show that 1/1.3 + 1/3.5 + 1/5.7 +.....n terms = n/(2n+1( for all n€N
5:51
show that 1/1.3 + 1/3.5 + 1/5.7 +.....n terms = n/(2n+1( for all n€N
show that 4^3+8^3+12^3+...+n terms = 16n^2(n+1)^2
4:52
show that 4^3+8^3+12^3+...+n terms = 16n^2(n+1)^2
show that 1+2+3+...+n=n(n+1)/2 for all n €N by using principal of mathematical induction
7:04
show that 1+2+3+...+n=n(n+1)/2 for all n €N by using principal of mathematical induction
Find the area enclosed by the curves y=√x and y=x^2
3:22
Find the area enclosed by the curves y=√x and y=x^2
Find the area under the curve f(x)= cosx in[0, 2π]
3:51
Find the area under the curve f(x)= cosx in[0, 2π]
Find the area of the curve f(x)=sinx in [0, 2π]
5:20
Find the area of the curve f(x)=sinx in [0, 2π]
1) Find the area of the region bounded by y=x^3+3, x-axis and x=-1, x=2
4:22
1) Find the area of the region bounded by y=x^3+3, x-axis and x=-1, x=2
find the limiting points of the coaxial system of circles of which two members are S=x^2+y^2+4x+2y+5
8:52
find the limiting points of the coaxial system of circles of which two members are S=x^2+y^2+4x+2y+5
if the points (2,0),(0,1),(4,5),(0,c) are concyclic find the value of c and also find the equation..
11:30
if the points (2,0),(0,1),(4,5),(0,c) are concyclic find the value of c and also find the equation..
solve sin^2x(dy/dx)+y=cotx
9:50
solve sin^2x(dy/dx)+y=cotx
Solve (xy^2+x)dx+(yx^2+y)dy=0
4:08
Solve (xy^2+x)dx+(yx^2+y)dy=0
Evaluate integral cosx/(sin^2x+4sinx+5)dx
3:18
Evaluate integral cosx/(sin^2x+4sinx+5)dx
find the area of the triangle formed by the normal at (3,-4) to the circle x^2+y^2-22x-4y+25=0 with
7:08
find the area of the triangle formed by the normal at (3,-4) to the circle x^2+y^2-22x-4y+25=0 with
Form the differential equation corresponding to y=Acos3x+Bsin3x, where A,B are parameters
5:45
Form the differential equation corresponding to y=Acos3x+Bsin3x, where A,B are parameters
1) If y=sin(sinx) then show that y+(tanx)y'+ycos^2x=0 2) Evaluate integral sin^4x / cos^6x dx
11:49
1) If y=sin(sinx) then show that y+(tanx)y'+ycos^2x=0 2) Evaluate integral sin^4x / cos^6x dx
Maths-2B Important problems (2 Marks)
8:13
Maths-2B Important problems (2 Marks)
find the derivative of the following w.r.to x.
18:49
find the derivative of the following w.r.to x.
find the derivative of the following functions from the definition f(x) = tan 2x
6:55
find the derivative of the following functions from the definition f(x) = tan 2x
find the derivative of the following functions from the definition f(x) = sin(2x)
8:11
find the derivative of the following functions from the definition f(x) = sin(2x)
find the value of 'a' if the distance between the points (a,2),(3,4) is 2√2
6:26
find the value of 'a' if the distance between the points (a,2),(3,4) is 2√2
find the point on the x-axis which is equivalent from (7,6), (-3,4)
8:09
find the point on the x-axis which is equivalent from (7,6), (-3,4)
show that the points (1,3),(3,-1),(-5,-5) form a right angled triangle.
7:33
show that the points (1,3),(3,-1),(-5,-5) form a right angled triangle.
show that the points (1,7),(3,-5),(4,-8) are colinear
10:57
show that the points (1,7),(3,-5),(4,-8) are colinear
find the distance between the points (-3,1),(3,2)
4:01
find the distance between the points (-3,1),(3,2)
evaluate integral 0 to 1(x^2/1+x^2) dx
2:41
evaluate integral 0 to 1(x^2/1+x^2) dx
evaluate I= integral -1 to 1 (1/sqrt(1-x^2)) dx
2:21
evaluate I= integral -1 to 1 (1/sqrt(1-x^2)) dx
evaluate integral -1 to 1 (1/1+x^2) dx
1:54
evaluate integral -1 to 1 (1/1+x^2) dx
evaluate integral 0 to pie (2+2cos(theta))dtheta
6:01
evaluate integral 0 to pie (2+2cos(theta))dtheta