Evaluate \(\int \sqrt{2 x+1} \ d x\)

Evaluate \(\int { \frac { dx }{ { \left( 2x+3 \right) }^{ 2 } } } \)

Evaluate \(\int { { \left( x+\frac { 1 }{ x } \right) }^{ 2 }dx } \)

Evaluate \(\int { \left( { x }^{ 3 }+7 \right) \left( x-4 \right) dx } \)

Integrate the following with respect to x.
\(\sqrt { 3x+5 } \)

 Integrate the following with respect to x.
\({ \left( { 9x }^{ 2 }-\frac { 4 }{ { x }^{ 2 } } \right) }^{ 2 }\)

Integrate the following with respect to x.
(3 + x)(2 − 5x)

Evaluate \(\int { \frac { { 3x }^{ 2 }+2x+1 }{ x } dx } \)

Evaluate \(\int { \frac { 2 }{ 3x+5 } dx } \)

Integrate the following with respect to x.
\({ \left( \sqrt { 2x } -\frac { 1 }{ \sqrt { 2x } } \right) }^{ 2 }\)

Evaluate \(\int { { 3 }^{ 2x+3 }dx } \)

Evaluate \(\int { \frac { { e }^{ x }+7 }{ { e }^{ x } } } dx\)

Evaluate \(\int { { \left( { e }^{ x }+\frac { 1 }{ { e }^{ x } } \right) }^{ 2 }dx } \)

Evaluate ∫(2sin x − 5cos x)dx

Evaluate \(\int { { sin }^{ 2 }xdx } \)

Evaluate \(\int { \frac { \cos2x }{ { \sin }^{ 2 }{ x \cos }^{ 2 }x } dx } \) 

Evaluate \(\int { \sqrt { 1+\sin2x \ dx } } \)

Integrate the following with respect to x.
2cos x − 3sin x + 4sec² x − 5cosec²x

Integrate the following with respect to x.
\(\sqrt { 1-\sin2x } \)

Evaluate \(\int { \frac { x }{ { x }^{ 2 }+1 } dx } \)

Evaluate \(\int { \frac { x }{ \sqrt { { x }^{ 2 }+1 } } dx } \)

Evaluate \(\int { x } \sqrt { { x }^{ 2 }+1 } \ dx\)

Integrate the following with respect to x.
\(\frac { 2x+5 }{ { x }^{ 2 }+5x-7 } \)

Integrate the following with respect to x.
\(\frac { { e }^{ 2x } }{ { e }^{ 2x }-2 } \)

Integrate the following with respect to x
\(\frac { 6x+7 }{ \sqrt { { 3x }^{ 2 }+7x-1 } } \)

Integrate the following with respect to x.
(4x + 2) \(\sqrt { { x }^{ 2 }+x+1 } \)

Integrate the following with respect to x.
x⁸(1+x⁹)⁵

Integrate the following with respect to x.
\(\frac{1}{x \log x}\)

Evaluate ഽ\(\frac { dx }{ { 16-x }^{ 2 } } \)

Evaluate ഽ\(\frac { dx }{ { 1-25x }^{ 2 } } \)

Evaluate ഽ\(\frac { dx }{ { 4x }^{ 2 }-1 } \)

Evaluate ഽ\(\frac { dx }{ \sqrt { { 4x }^{ 2 }-9 } } \)

Evaluate ഽ\(\frac { dx }{ \sqrt { { x }^{ 2 }+25 } } \)

Evaluate ഽ\(\sqrt { { x }^{ 2 }-16 } \)dx

Evaluate ഽ\(\sqrt { { x }^{ 2 }+5 } \) dx

Evaluate ഽ\(\sqrt { { 4x }^{ 2 }+9 } \) dx

Integrate the following with respect to x
\(\frac { 1 }{ { 9-16x }^{ 2 } } \)

Integrate the following with respect to x
\(\frac { 1 }{ { 2x }^{ 2 }-9 } \)

Integrate the following with respect to x
\(\frac { 1 }{ \sqrt { { 9x }^{ 2 }-7 } } \)

Integrate the following with respect to x
\(\sqrt { { x }^{ 2 }-2 } \)

Integrate the following with respect to x
\(\sqrt { { 4x }^{ 2 }-5 } \)

Evaluate \(\int _{ \frac { \pi }{ 6 } }^{ \frac { \pi }{ 3 } }{ \sin x } \) dx

Evaluate \(\int _{ 0 }^{ \infty }{ { e }^{ -\frac { x }{ 2 } } } dx\)

If \(\int _{ 1 }^{ a }{ { 3 }x^{ 2 } } \) dx = -1, then find the value of a ( a ∈ R ).

If f(x) = \(\begin{cases} { x }^{ 2 }, \\ x, \\ x-4, \end{cases}\begin{matrix} -2 & \le & x \\ 1 & \le & x \\ 2 & \le & x \end{matrix}\begin{matrix} < & 1 \\ < & 2 \\ \le & 4 \end{matrix}\), then find the following
(i) \(\int_{-2}^{1} f(x) d x\)
(ii) \(\int_{1}^{2} f(x) d x\)
(iii) \(\int_{2}^{3} f(x) d x\) 
(iv) \(\int_{-2}^{1.5} f(x) d x\)
(v) \(\int_{1}^{3} f(x) d x\)

Using second fundamental theorem, evaluate the following:
\(\int _{ 0 }^{ 1 }{ { e }^{ 2x } } dx\)

Using second fundamental theorem, evaluate the following:
\(\int_{0}^{\frac{1}{4}} \sqrt{1-4 x} \ d x\)

Evaluate \(\int _{ -1 }^{ 1 }{ \frac { { x }^{ 5 }dx }{ { a }^{ 2 }-{ x }^{ 2 } } } \)

Evaluate \(\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \cos x d x\) dx

Evaluate \(\int _{ -1 }^{ 1 }{ ({ x }^{ 2 }+x)dx } \)

Evaluate the following using properties of definite integrals:
\(\int _{ -\frac { \pi }{ 4 } }^{ \frac { \pi }{ 4 } }{ { x }^{ 3 }{ cos }^{ 3 }xdx } \)

Evaluate
\(\Gamma (6)\)

Evaluate the following:
 \(\Gamma (4)\)

Evaluate the following integrals:
ഽ\(\sqrt { 2{ x }^{ 2 }-3 } \) dx

Evaluate the following
\(\Gamma \) \(\left( \frac { 9 }{ 2 } \right) \)

Evaluate the following
\(\int _{ 0 }^{ \infty }{ { e }^{ -mx } } { x }^{ 6 }dx\)

Evaluate the following
\(\int _{ 0 }^{ \infty }{ { e }^{ -4x } } { x }^{ 4 }dx\)

Evaluate
\(\Gamma(\frac{7}{2})\) 

Evaluate
\(\int _{ 0 }^{ \infty }{ { e }^{ -2x }{ x }^{ 5 }dx } \) 

Evaluate \(\int \frac{ax^2 + bx+c}{\sqrt x}dx\)