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Find the integral $\int\frac{1}{\sqrt{49-x^2}}dx$

Step-by-step Solution

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Solution

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Final answer to the problem

$\arcsin\left(\frac{x}{7}\right)+C_0$
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Step-by-step Solution

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Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/((49-x^2)^(1/2)))dx. Apply the well-known integration formula: \displaystyle\int\frac{1}{\sqrt{a^2-x^2}}dx = \arcsin\left(\frac{x}{a}\right). Calculate the power \sqrt{49}. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

Final answer to the problem

$\arcsin\left(\frac{x}{7}\right)+C_0$

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Function Plot

Plotting: $\arcsin\left(\frac{x}{7}\right)+C_0$

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x
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(◻)
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◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

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