Fundamental Theorem of Definite Integration

Theorems Of Definite Integration

Fundamental theorem of definite integral : If int_(0)^(k)(dx)/(1+4x^(2))=(pi)/(8) then k =……..

Fundamental theorem of definite integral : int_(0)^(pi/2)(cos2x)/((sinx+cosx)^(2))dx=...........

Fundamental theorem of definite integral : int_(a)^(b)(logx)/(x)dx=...... (where a binR^(+) )

Fundamental theorem of definite integral : int_(0)^(pi/4)(sin^(9)x)/(cos^(11)x)dx=........

Fundamental theorem of definite integral : int_(-1)^(2)sqrt(5x+6)dx=........

Fundamental theorem of definite integral : If int_(sinx)^(1)t^(2)f(t)dt=(1-sinx) then f((1)/(sqrt3))=........

Fundamental theorem of definite integral : f(x)=int_(2)^(x)(dt)/(sqrt(1+t^(4))) and g is a inverse function of f then g'(0) =………….

Fundamental theorem of definite integral : int_(0)^(pi/4)tan^(100)xdx+int_(0)^(pi/4)tan^(102)xdx=........

Fundamental theorem of definite integral : int_(0)^(pi)sqrt(1+4sin^(2)""(x)/(2)-4sin""(x)/(2))dx=......