[" 4."(ax+b)^(2)],[" fिम्नालिखित Known to integrations "]

If the area bounded by the parabola y^(2)=16 ax and the line y = 4 mx is (a^(2))/(12) sq unit then using integration find the value of m.

If the value of integral int(x+sqrt(x^2 -1))^(2)dx = ax^3 - x + b(x^2 - 1)^(1/b), +C (where, C is the constant of integration), then a xx b is equal to

If the value of integral int(x+sqrt(x^2 -1))^(2)dx = ax^3 - x + b(x^2 - 1)^(1/b), +C (where, C is the constant of integration), then a xx b is equal to

The value of integral int_(-pi)^(pi) (cos ax-sin b x)^(2)dx , where (a and b are integers), is

Integrate : (ax+b)^(3) .

∫ax+b/√px2+qx+r dx Form and Integration by Parts

Suppose a and b are integers such that x^(2)+ax+b+1=0 has positive integral solution then

Find the area common to two parabolas x^(2)=4ay and y^(2)=4ax, using integration.

∫ax+b/√px2+qx+r dx Form || Integration By Parts