Integrate the square root of (1 - sin² x) dx.

Q: Find tan-1 x2 -dx using integration by parts.

A: Integral by parts

Q: 2 x² +1 -dr. VI Calculate

A: ∫xn=xn+1n+1

Q: Show that d/dx(x arcsin x+√1−x2) =arcsin x.

A: We separate the differentiation with both parts

Q: dx 1+ 3/2 х

A: We need to integrate the given integral.

Q: coth3x dx sinh3x

A: ∫coth3xsinh3xdx=-cosech3x3+C           where C is an integral constant.

Q: sin6x 5. S 4sin?3xcos3x

A:

Q: ∫(π/2) cosx dx 0

A:

Q: Find all values of sinh-1V2.

A: The answer is, loge(√2 + √3)  The detailed solution is as follows below:

Q: Solve (sin?3x)dy = dx

A: We have to solve the given expression    The given expression is   (sin2 3x) dy =dx

Q: te the following: 2x dx x - 4 dx

A:

Q: a. dx 1+ sin(ax)

A: