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  • Integral of x^3*e^(x^2) Integral of x^3*e^(x^2)

  • Identical expressions

  • sqrt((x^ two /a^ two - one)/b^ two)*sqrt(one +(f*x)^ two)
  • square root of ((x squared divide by a squared minus 1) divide by b squared ) multiply by square root of (1 plus (f multiply by x) squared )
  • square root of ((x to the power of two divide by a to the power of two minus one) divide by b to the power of two) multiply by square root of (one plus (f multiply by x) to the power of two)
  • √((x^2/a^2-1)/b^2)*√(1+(f*x)^2)
  • sqrt((x2/a2-1)/b2)*sqrt(1+(f*x)2)
  • sqrtx2/a2-1/b2*sqrt1+f*x2
  • sqrt((x²/a²-1)/b²)*sqrt(1+(f*x)²)
  • sqrt((x to the power of 2/a to the power of 2-1)/b to the power of 2)*sqrt(1+(f*x) to the power of 2)
  • sqrt((x^2/a^2-1)/b^2)sqrt(1+(fx)^2)
  • sqrt((x2/a2-1)/b2)sqrt(1+(fx)2)
  • sqrtx2/a2-1/b2sqrt1+fx2
  • sqrtx^2/a^2-1/b^2sqrt1+fx^2
  • sqrt((x^2 divide by a^2-1) divide by b^2)*sqrt(1+(f*x)^2)
  • sqrt((x^2/a^2-1)/b^2)*sqrt(1+(f*x)^2)dx

  • Similar expressions

  • sqrt((x^2/a^2+1)/b^2)*sqrt(1+(f*x)^2)
  • sqrt((x^2/a^2-1)/b^2)*sqrt(1-(f*x)^2)
Solving integrals/ sqrt((x^2/a^2-1)/b^2)*sqrt(1+(f*x)^2)

Integral of sqrt((x^2/a^2-1)/b^2)*sqrt(1+(f*x)^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  b                                     
  /                                     
 |                                      
 |           ________                   
 |          /  2                        
 |         /  x                         
 |        /   -- - 1                    
 |       /     2         ____________   
 |      /     a         /          2    
 |     /      ------ *\/  1 + (f*x)   dx
 |    /          2                      
 |  \/          b                       
 |                                      
/                                       
a
$$\int\limits_{a}^{b} \sqrt{\frac{-1 + \frac{x^{2}}{a^{2}}}{b^{2}}} \sqrt{\left(f x\right)^{2} + 1}\, dx$$ 
Integral(sqrt((x^2/a^2 - 1)/b^2)*sqrt(1 + (f*x)^2), (x, a, b))

    Use the examples entering the upper and lower limits of integration.

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