`lim_(lambda->0)(int_0^1(1+x)^(lambda)dx)^(1/lambda)` is equal to

lim_(lambda rarr0)(int_(0)^(1)(1+x)^(lambda)dx)^((1)/(lambda)) is equal to

lim_(lamda to 0)(int_(0)^(1) (1+x)^(lambda ) dx)^(1//lambda) Is equal to

lim_(lamda to 0)(int_(0)^(1) (1+x)^(lambda ) dx)^(1//lambda) Is equal to (a) 2 In 2 " " (b) (4)/(e) (c) In(4)/(e) " " (d) 4

int_(0)^(lambda) (ydy)/(sqrt(y+lambda)) is equal to

lim_(x->pi)(2-lambda/x)^(2tan((pipi)/(2lambda)))=1/e, then lambda is equal to -

If int_(0)^(1)cot^(-1)(1-x+x^(2))dx=lambda int_(0)^(1)tan^(-1)xdx, then lambda is equal to 1( b) 2(c)3(d)4

If int(e^(x)(2-x^(2)))/((1-x)sqrt(1-x^(2)))dx=mu e^(x)((1+x)/(1-x))^(lambda)+C , then 2(lambda+mu) is equal to ..... .

If int(e^(x)(2-x^(2)))/((1-x)sqrt(1-x^(2)))dx=mu e^(x)((1+x)/(1-x))^(lambda)+C , then 2(lambda+mu) is equal to ..... .

If int(e^(x)(2-x^(2)))/((1-x)sqrt(1-x^(2)))dx=mu e^(x)((1+x)/(1-x))^(lambda)+C , then 2(lambda+mu) is equal to ..... .

If the area (in sq.units) bounded by the parabola y^(2)=4 lambda x and the line y=lambda x,lambda>0, is (1)/(9), then lambda is equal to: