_ ^ x^2 x^3 ;dx = - Vidyadip

MCQ

$\int_{}^{} {{x^2}\sec {x^3}\;dx} = $

A
$\log (\sec {x^3} + \tan {x^3})$
B
$3(\sec {x^3} + \tan {x^3})$
✓
$\frac{1}{3}\log (\sec {x^3} + \tan {x^3})$
D
None of these

✓

Answer

Correct option: C.

$\frac{1}{3}\log (\sec {x^3} + \tan {x^3})$

c
(c) Put ${x^3} = t \Rightarrow 3{x^2}dx = dt$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 7.1 inderfinite integral→7.1 inderfinite integral — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If $A = \left[ {\begin{array}{*{20}{c}}a&0&0\\0&b&0\\0&0&c\end{array}} \right]$, then ${A^n} = $

The value of the integral $\int_0^{\log 5} {\frac{{{e^x}\sqrt {{e^x} - 1} }}{{{e^x} + 3}}} \,dx = $

The distance between the planes 2x + 2y - z +2 = 0 and 4x + 4y - 2z + 5 = 0 is:

Magnitudes of vectors $ \vec a,\vec b,\vec c$ are $3,4,5 $ respectively. If $\vec a$ and $ \vec b+\vec c, \vec b$ and $\vec c+ \vec a,\vec c $ and $\vec a + \vec b$ are mutually perpendicular, then magnitude of $|\vec a + \vec b + \vec c|$

The area between x-axis and curve $\text{y}=\cos\text{x}$ when $0\leq\text{x}\leq2\pi$ is:

0
2
3
4

let $S = \{1, 2, … 20\}$. A subset $B$ of $S$ is said to be $“nice”$, if the sum of the elements of $B$ is $203$. Then the probability that a randomly chosen subset of $S$ is $‘nice’$ is

The direction cosines of the line $\frac{{3x + 1}}{{ - 3}} = \frac{{3y + 2}}{6} = \frac{z}{{ - 1}}$ are

Let a set $A=A_{1} \cup A_{2} \cup \ldots \cup A_{k,} \quad$ where $A_{ i } \cap A _{ j }=\phi$ for $i \neq j 1 \leq i , j \leq k$. Define the relation $R$ from $A$ to $A$ by $R=\left\{(x, y): y \in A_{i}\right.$ if and only if $\left.x \in A_{i}, 1 \leq i \leq k\right\}$. Then, $R$ is

If ${I_n} = \int_0^{\pi /4} {{{\tan }^n}\theta \,d\theta ,} $ then for any positive integer $n,$ the value of $n({I_{n - 1}} + {I_{n + 1}})$ is

The maximum value of Z = 4x + 3y subjected to the constraints 3x + 2y ≥ 160, 5x + 2y ≥ 200, x + 2y ≥ 80, x, y ≥ 0 is: