Question
∫x4+11+x6 dx=
Answer: Option D
:
D
I=∫x4+11+x6dx=∫(x4−x2+1)+x2(1+x6)dx=∫x4−x2+11+x6dx+∫x21+x6dx=∫11+x2dx+13∫3x21+x6dx=tan−1(x)+13tan−1x3+c
Was this answer helpful ?
:
D
I=∫x4+11+x6dx=∫(x4−x2+1)+x2(1+x6)dx=∫x4−x2+11+x6dx+∫x21+x6dx=∫11+x2dx+13∫3x21+x6dx=tan−1(x)+13tan−1x3+c
Was this answer helpful ?
More Questions on This Topic :
Question 1. ∫cos3x+cos5xsin2x+sin4xdx equals....
Question 2. If Φ(x)=∫dxsin12x cos72x, then Φ(π4)−Φ(0)=....
Question 4. ∫dxcos(2x)cos(4x)is equal to....
Question 5. ∫ex[x3+x+1(1+x2)3/2]dx is equal to....
Question 6. If ∫cos 8x+1tan 2x−cot 2xdx=a cos 8x+C, then....
Question 7. ∫dxsin4x+cos4 x is equal to....
Question 8. ∫dx(x−3)(4/5)(x+1)6/5=....
Submit Solution