Review of Integration II (Rational functions and Universal Substitutions)
Trending Questions
Q. The solution for ∫π/60cos43θsin36θdθ is
- 0
- 1/15
- 1
- 8/3
Q. If ∫2π0|xsinx|dx=kπ, then the values of k is equal to
- 4
Q. The value of the integral ∫∞−∞12cos(2πt)sin(4πt)4πtdt is
- 3
Q. The integral 12π∫2π0sin(t−τ)cosτdτ equals
- sintcost
- 0
- (1/2)cost
- (1/2)sint
Q. Consider the following definite integral:
I=∫10(sin−1x)2√1−x2dx
The value of the integral is
I=∫10(sin−1x)2√1−x2dx
The value of the integral is
- π324
- π312
- π348
- π364
Q. Let x be a continous variable defined over the interval (−∞, ∞) and f(x)=e−x−e−x. The integral g(x)=∫f(x)dx is equal to
- ee−x
- e−e−x
- e−ex
- e−x
Q. The integral ∫10dx√(1−x) is equal to
- 2
Q. If ∫ex(1−x1+x2)2dx=exca+bx2+k, then the sum of a, b and c is ___.
- 3
Q. The value of the integral given below is ∫π0x2cosxdx
- −2π
- π
- −π
- 2π
Q. The value of ∫∞011+x2dx+∫∞0sinxxdx is
- π2
- π
- 3π2
- 1
Q. The value of the integral ∫20(x−1)2sin(x−1)(x−1)2+cos(x−1)dx is
- 3
- 0
- −1
- −2