Integral of the form `int[xf\'(x)+f(x)]dx` can be evaluated by using integration by parts in first integral and leaving second integral as it is.Now answer the question:`int[1/(x^4+1)-(4x^4)/(x^4+1)^2]dx=` (A) `x^2/(x^4+1)+c` (B) `x^3/(x^4+1)+c` (C) `x/(x^4+1)+c` (D) none of these

Integral of the form int[xf\'(x)+f(x)]dx can be evaluated by using integration by parts in first integral and leaving second integral as it is.Now answer the question: int[x^(x+1)(logx+1)+x^x]dx= (A) x^(x+2)+c (B) x^(x+1)+c (C) x^x+x+c (D) none of these

Integral of the form int[xf\'(x)+f(x)]dx can be evaluated by using integration by parts in first integral and leaving second integral as it is.Now answer the question: int(x+sinx)/(1+cosx)dx= (A) xtanx/2+c (B) x/2tanx/2+c (C) x/2tanx+c (D) none of these

Evaluate the following integration int (sin 4x)/(sin x)dx

If f(x) is an integrable function and f^-1(x) exists, then int f^-1(x)dx can be easily evaluated by using integration by parts. Sometimes it is convenient to evaluate int f^-1(x)dx by putting z=f^-1(x) .Now answer the question.If I_1=int_a^b[f^2(x)-f^2(a)]dx and I_2=int_(f(a))^(f(b)) 2x[b-f^-1(x)]dx!=0 , then I_1/I_2= (A) 1:2 (B) 2:1 (C) 1:1 (D) none of these

Integrate int(4x^3dx)/sqrt(1-x^8)

Find the integral of the following integral int (3x dx)/(2x^4+1)

Integrate : int(1+x)/(1-2x-x^(2))dx

Integrate the function ((x^(3)-1))/((x^(4)+1)(x+1))

Integrate the functions (1)/(x^(2)(x^(4)+1)^((3)/(4)))

Evaluate the following integration int(x^(4))/(1+x^(2))dx