Use integration by parts to prove the equality.
40047
Is $\int_a^b f(x) dx = \int_{f(a)}^{f(b)} f^{-1}(x) dx$?
1516
How did you prove this integral?
10790
Integration of a function with respect to another function.
118161
Proof of dividing fractional expressions
4064
An equality involving the mean value property
136782
Prove that $x * y = \frac{x+y}{1+xy}$ is a stable part of $G=(-1, 1)$
40936
How prove this integral inequality
142840
Open axioms of equality
92418
Prove by induction Fibonacci equality
145614
Proving one limit is equal to another
96436
About integrating $\sin^2 x$ by parts
97558
Prove that $\left| f'(x)\right| \leq \sqrt{2AC}$ using integration
23946
Prove the definitions of $e$ to be equivalent
77134
Proving a three variables inequality
148092
Use integration by parts to prove $ \int^\infty_0 x^ne^{-x} dx=n!$
31937
How do I prove equality of x and y?
34398
Prove $\left| \int_a^b f(t) dt \right| \leq \int_a^b \left| f(t) \right| dt$